Question

what is the remainder when the polynomial 2x^3 + 7x^2+2x-3 divided by (x-1)​

Answer 1

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.

Answer 2

Answer:

putting x = 1 in the given polynomial,

=2(1)³+7(1)²+2(1)-3

=2+7+2-3

=7+4-3

=8

this is the remainder.

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