Question

The polynomials x^3 + 2x^2
-5ax -7 and x^3 + ax^2 –12x +6 when divided by x + 1 and x – 2
respectively, leave remainders R1 and R2 respectively. Find the value of a if R1 = R2​

Answer 1

Step-by-step explanation:

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Let f(x)=2x

3

−kx

2

+7x−1.

Now according to the remainder theorem, when f(x) is divided by x−1 then the remainder is f(1).

Now, f(1)=2−k+7−1=8−k.

According to the problem,

8−k=3

or, k=5.