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Remainder Theorem Free Doubts and Solutions

CBSE - IX - Mathematics - Polynomials

if 2x^3+ax^2+3x-5 is divided by x-2 the remainder is 5 then find a

Asked by niharikapant2002 5th June 2018, 1:49 PM
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CBSE - IX - Mathematics - Polynomials

What is the remainder when h(y) = 4y3 - 12y2 + 14y - 3 is divided by (2x - 1)

Asked by Topperlearning User 18th September 2017, 10:06 AM
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CBSE - IX - Mathematics - Polynomials

Check whether (i) The polynomial 2x4 - 5x3 - 2x + 5 is a multiple of x - 1.(ii) 7x2 - 7x + 2x3 - 30 is a multiple of 2x + 5.

Asked by Topperlearning User 18th September 2017, 9:46 AM
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CBSE - IX - Mathematics - Polynomials

Using Remainder Theorem, prove that p(x) = 6x3 + 19x2 + 21x + 9 is completely divisible by 2x + 3.

Asked by Topperlearning User 18th September 2017, 9:42 AM
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CBSE - IX - Mathematics - Polynomials

Check whether (x - 1) is a multiple of x3 - 3x2 + 3x - 4.

Asked by Topperlearning User 18th September 2017, 9:42 AM
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CBSE - IX - Mathematics - Polynomials

Prove that x + 3 is a multiple of q(x) = x3 + 6x2 + 11x + 6 using Remainder theorem.

Asked by Topperlearning User 18th September 2017, 9:35 AM
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CBSE - IX - Mathematics - Polynomials

If the polynomial ax3 + 3x2 - 13 and 2x3 - 5x + a, when divided by (x + 2) leaves the same remainder, find the value of 'a'.

Asked by Topperlearning User 18th September 2017, 9:32 AM
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CBSE - IX - Mathematics - Polynomials

If the polynomial p(x) = x3 - 3x2 + ax - b is such that when divided by (x - 2 ) and (x + 2), the remainders are 21 and 1 respectively. Find the values of a and b.

Asked by Topperlearning User 18th September 2017, 9:31 AM
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CBSE - IX - Mathematics - Polynomials

Find remainder using Remainder theorem:(i) r(t) = t3 + 6t2 + 2t - 2 is divided by (3t + 1)(ii) g(y) = y3 - 6y2 + 2y - 4 is divided by (1 - 3y)

Asked by Topperlearning User 18th September 2017, 9:30 AM
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CBSE - IX - Mathematics - Polynomials

Using Remainder Theorem, obtain the remainder when(i) p(x) = 2x4 - 3x3 + x2 - x + 5 is divided by (x - 2)(ii) q(x) = 4x3 - 12x2 + 14x - 3 is divided by (2x - 1)

Asked by Topperlearning User 18th September 2017, 9:25 AM
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CBSE - IX - Mathematics - Polynomials

The polynomials p(x) = ax3 + 3x2 - 3 and q(x) = 2x3 - 5 + a , when divided by (x - 4) leave the remainders R1 and R2. Find 'a' if R1 + R2 = 0.

Asked by Topperlearning User 18th September 2017, 9:20 AM
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CBSE - IX - Mathematics - Polynomials

WHAT IS THE REMAINDER WHEN 5Xcube-7Xsquare+3X+13 IS DIVIDED BE X/2+1

Asked by Keerthi 8th June 2017, 8:20 PM
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CBSE - IX - Mathematics - Polynomials

x + 6 is a factor of the polynomial mx3 + 13x2 - 69x - 18. The polynomials 3x2 - ax + 6m and x 3 + ax2 - 2 leave the same remainder when divided by (x - 2). Find the values of a and m. how to solve these type of questions

Asked by rajivjoshigoldtech 9th September 2016, 12:12 PM
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CBSE - IX - Mathematics - Polynomials

Factorise:
(i)   x3 - 2x2 - x + 2                         (ii)  x3 - 3x2 - 9x - 5
(iii) x3 + 13x+ 32x + 20                (iv) 2y3 + y2 - 2y - 1

Asked by Turjo Bhattacharjee 14th June 2015, 9:23 PM
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CBSE - IX - Mathematics - Polynomials

<div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=908030d729a10110e896bbf1e786348d.png" alt="x cubed minus 6 x squared plus 2 x minus 4 space d i v i d e d space b y space 3 x minus 1" align="middle" /></div>

Asked by KALAPANA.KOTAK 16th July 2014, 8:41 AM
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CBSE - IX - Mathematics - Polynomials

  What must be added to  x^4+6x^3+19x^2+30x to make it a perfect square?

Asked by ddastez 4th June 2014, 9:00 PM
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CBSE - IX - Mathematics - Polynomials

If f(x) = x4 - 2x3 + 3x2 - ax + b is divided by(x - 1) and (x + 1), it leaves the remainder 5 and 19 respectively. Find 'a' and 'b'.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

The polynomials kx3 + 3x2 - 8 and 3x3 - 5x + k are divided by x + 2. If the remainder in each case is the same, find the value of k.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Find the remainder when 3x3 - 4x2 + 7x - 5 is divided by (x - 3) and (x + 3).

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If p(x) = x3 - ax2 + bx + 3 leaves a remainder - 19 when divided by (x + 2) and a remainder 17 when divided by (x - 2), prove that a + b = 6.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Find the reminder when 3x3 - 4x2 + 7x - 5 is divided by (x - 3) and (x + 3).

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