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# Introduction To Polynomials Free Doubts and Solutions

## please solve this question asap. thanks.

Asked by sharma.kapil311 7th September 2018, 11:46 PM

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## (x+4)(x+5)

Asked by bhutadavivek5 22nd June 2018, 8:16 PM

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## Find zeroes of polynomial  (a)x2+2root2-6 (b)4root3x2+5x-2root3 (c)2x2-3+5x (d)x2-(root3-1)x+root3

Asked by Abhinav050806 5th May 2018, 7:42 PM

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## What Is The Degree of the polynomial √7 ?

Asked by shahidbhai786786786 21st March 2018, 8:39 PM

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## Find the value of the polynomial 6 - 4x + 3x2 at(i) x = 0(ii) x = 2

Asked by Topperlearning User 17th January 2018, 3:20 PM

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## f(x)= ax^7+bx^3+cx-5 where a,b,c are consonants. If f(-7) = 7 then, f(7)=?

Asked by adityaahuja099 1st December 2017, 6:20 PM

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## <div>Can you please explain me about the division of cubic polynomials in shortcut method</div> <div>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=fade084997e860d2e5fb5a98eb7f032c.png" alt="open parentheses o r close parentheses" align="middle" />&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</div> <div>How to find the quotient when a cubic polynomial is divided by other polynomial in easiest method and in shortcut &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Ex:-<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=72b7909e0b80c631f4a4240f66b71575.png" alt="fraction numerator x cubed plus 3 x squared plus 2 x plus 4 over denominator x plus 3 end fraction" align="middle" />=Quotient?&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</div>

Asked by md775016 27th July 2017, 10:30 AM

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## Without finding cubes, factorise and find the value of (1/4)3 + (1/3)3 - (7/12)3 ?

Asked by Vikas 4th July 2017, 10:10 AM

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## <div>Q) In right angled triangle if two legs are <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=3847ba7ba8a68bacdeee5fba35f41b52.png" alt="2 x plus 1" align="middle" />&nbsp;and&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=0e6dc54c2d68b8115981e3887e6077fe.png" alt="2 x squared plus 2 x" align="middle" />&nbsp;, then hypotenuse is&nbsp;</div> <div>A)&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=f3cb19dde3512d29f366444e36a4ea9a.png" alt="2 x squared space plus 2 x plus 3" align="middle" /></div> <div>B)&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=a5518820ece8417e6d7ae2bea36ac836.png" alt="2 x squared plus 2 x plus 1" align="middle" /></div> <div>C)&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=cb9c54d6ac1f970b4b3e9668ef9f4e4a.png" alt="2 x squared plus x plus 1" align="middle" /></div> <div>D)&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=049b9afe7877677e67a8e14e8f7e5210.png" alt="2 x squared plus x plus 2" align="middle" /></div>

Asked by banerjee_milky 23rd June 2017, 2:43 PM

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## what is symmetric expression?

Asked by vikasg13.hardware 19th June 2017, 8:07 PM

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## If a^2+b^2+4c^2=ab+2bc+2ac, prove that a =b=2c.

Asked by aryadutta2002 17th June 2017, 7:09 PM

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## QUESTION 1 :

Asked by gpnkumar0 15th September 2016, 7:51 AM

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## QUESTION 1 :

Asked by gpnkumar0 15th September 2016, 7:45 AM

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## Divide by long division method

Asked by Shawn 27th May 2016, 6:21 PM

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## sir if power is one then it is lenear and if power is four then what is it?

Asked by sidhantkhan19 17th April 2016, 9:33 PM

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## explain factor theorem and reminder theorem

Asked by mahendra_soniya 30th September 2015, 5:16 PM

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## if (x+1)is a factor of (xn+1)oniy if, n is an odd integer n is a even integer n is a negative integer n is a positive integer

Asked by my3shyll 25th July 2015, 7:56 PM

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## If ( x

Asked by digantverma08 23rd May 2015, 1:11 PM

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## Hello sir. I am a bit confused. We were doing polynomials and this question came to my mind.I want to know why polynomials are denoted by f(x). can you please explain.

Asked by rdbharti2008 18th March 2015, 7:41 PM

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## Find 100 3-60 3-40  3 using identity

Asked by Vanishree 17th September 2014, 11:09 AM

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## If x= 2y+6 then find the value of x3-8y3-36xy-216

Asked by Vanishree 17th September 2014, 11:06 AM

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## Factorise X2 + x/4 - 1/8

Asked by Vanishree 17th September 2014, 11:02 AM

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## In the RD Sharma Solutions,  in Chapter 6 Factorization of Polynomials, Ex 6.4, Q no. 22, the remainder is in minus. Then, why afterward this step-(-2x-3) was done.

Asked by vatsalchoudhary41 5th September 2014, 8:01 AM

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## <div><em><strong>FIND INTEGRAL ROOTS OF &nbsp;: &nbsp;&nbsp;</strong></em><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=9929b2878e89b20c1fc04f5f63e243c3.png" alt="x cubed plus x squared plus x minus 3" align="middle" /></div>

Asked by harshmandlik 4th August 2014, 5:42 PM

## Answer this question

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### CBSE - IX - Mathematics - Polynomials

Asked by Topperlearning User 10th July 2014, 1:26 PM

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## Which of the following are monomial, binomial and trinomial?(i) 8(ii) x3 - x2 + 4(iii) 3x + 4

Asked by Topperlearning User 10th July 2014, 1:26 PM

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## Find the value of the polynomial p(z) = 3z2 - 4z + when z = 3.

Asked by Topperlearning User 10th July 2014, 1:25 PM

## Answer this question

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### CBSE - IX - Mathematics - Polynomials

Asked by Topperlearning User 10th July 2014, 1:22 PM

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## sir,there is a statement in my book which i cant understand: "In fact, a non zero constant polynomial has no zero. what about the zeroes of the zero polynomial?by conversion,every real number is zero of the zero polynomial".

Asked by Umar 3rd July 2014, 10:50 AM

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## <div><br />Which of the following are polynomials and why</div> <div>(i)(x-2)(x+3)</div> <div>(ii)<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=0a134c7a0a4f0e5e0fc56ba76accc399.png" alt="1 over x squared plus space 1 over x cubed minus space 3" align="middle" /></div> <div>(iii)<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6d54e623714845776d40b974de9b3e3e.png" alt="left parenthesis x minus 1 right parenthesis left parenthesis x squared plus space x space plus space 1 right parenthesis" align="middle" /></div> <div>(iv)<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=511e36c2f046ac45f344b9f6f6da14d4.png" alt="t cubed space minus space square root of 2 t space plus space square root of 3" align="middle" /></div> <div>(v)<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=abd2503653a02b230f4e33e97171cd25.png" alt="square root of x to the power of 5 end root plus space x squared space plus space 7 x" align="middle" /></div>

Asked by vatsalchoudhary41 29th June 2014, 11:38 AM

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## <div>Find the degree of the given polynomials</div> <div>(i)&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=debdfd0a64ee4ea2d0177294a918e63d.png" alt="a cubed x to the power of 5 space plus space a squared x cubed space plus space a x squared space plus space 9" align="middle" /></div> <div>&nbsp;</div> <div>(ii)&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=3f121e368f64ecaa740d6a8cba43ba13.png" alt="x cubed over x space plus space square root of 2 x space plus space 5" align="middle" /></div> <div>(iii)<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c430827d76c06b27aee4d10d1322e856.png" alt="x left parenthesis x squared space minus space 2 x space minus space 1 right parenthesis" align="middle" /></div> <div>(iv)<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=802eb6b274833c690a97da16b66e24cf.png" alt="p squared left parenthesis p to the power of 3 space end exponent plus space 1 right parenthesis" align="middle" /></div>

Asked by vatsalchoudhary41 29th June 2014, 11:22 AM

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## <div>If a =&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=bca892d12740b0afe58f83470825e2aa.png" alt="fraction numerator square root of 5 minus 2 over denominator square root of 5 plus space 2 end fraction" align="middle" />&nbsp;show that&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=8cc34a0581503ae7bc9b0d6faf2efee6.png" alt="a space plus space fraction numerator 1 over denominator a space end fraction space equals space 18" align="middle" />&nbsp;and&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6bdb58f7a678dc20af13a45fb30aaa34.png" alt="a squared space minus space 1 over a to the power of 2 space end exponent equals space minus 144 square root of 5" align="middle" /></div>

Asked by vatsalchoudhary41 29th June 2014, 11:17 AM

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## Determine whether the indicated numbers are zeroes of the given polynomial? (i) g(x) = 3x2 -2; x = . (ii) f(x) = x3 -6x2 + 11x -6; x = 1, 3.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## If the volume of a cuboid is 2zy2 + 6zy - 20z, find its dimensions

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that x2 + 6x + 15 has no zero.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## How many integral zeros do the polynomial 3z3 + 8z2 -1 have?

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Find the zero of the polynomial in each of the following cases:(i) P(x) = 6x + 4                               (ii) P(x) = -3x + 5

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Classify the following as linear, quadratic and cubic polynomials(i) 4x3(ii) 2x - 1 + x2(iii) 5t(iv) x - x3

Asked by Topperlearning User 4th June 2014, 1:23 PM

## Answer this question

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### CBSE - IX - Mathematics - Polynomials

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Give one example each of a monomial, binomial and trinomial of degree 25

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Verify whether the following are zeroes of the polynomial, indicated against them.

Asked by Topperlearning User 29th April 2013, 3:02 AM