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## find the values of p and q if the polynomial g(x)=x^2-3x-10 is a factor of the polynomial f(x)=x^3+px^2+qx+20.

Asked by bdroy_2014 5th February 2018 10:55 PM

## Find the value of m and n so that polynomial f(x) = x3 - 6x2 + mx - n  is  exactly divisible by (x-1) as well as (x-2) ?( PLS ANS ALL QUESTIONS URGENTLY)

Asked by Vikas 5th March 2018 12:09 PM

## Question Factorise: x3 + 13x2 + 32x + 20 Solution: Let p(x) = x3 + 13x2 + 32x + 20 p(-1) = -1 + 13 - 32 + 20 = -33 + 33 = 0 Therefore (x + 1) is a factor of p(x). On dividing p(x) by (x + 1) we get p(x)   (x + 1) = x2 + 12x + 20 Thus, x3 + 13x2 + 32x + 20 = (x + 1)(x2 + 12x + 20) = (x + 1) (x2 + 10x + 2x + 20) = (x + 1)[x(x + 10) + 2(x + 10)] = (x + 1) (x +2) (x + 10) Hence, x3 + 13x2 + 32x + 20 = (x + 1) (x +2) (x + 10). The above question is from the sureshot questions but I am not clear with the explanation.Please elaborate.Please reply urgently I have my Maths exam tomorrow

Asked by nayonika.online.learning 17th May 2018 9:08 PM

## Please can I get the proof for factor theorem along with its explanation

Asked by 21janhvi.verma 28th May 2018 7:06 PM

## Why in remainder theorem (x-a) is transposed as x=a

Asked by 21janhvi.verma 28th May 2018 7:27 PM

## I can't understand that why x-a=0 in remainder theorem

Asked by 21janhvi.verma 29th May 2018 2:55 PM

## Find the value of a if x-a is a factor of  a)2x^3+x^2-17x+a b)x^5+a^2* x^3+2x+a+1

Asked by itishreepanda999 31st May 2018 10:55 AM