Question

Which of the following polynomials has a remainder of -7 when divided by aOA. 31³ +62 – 2B. ³- 2x² - 4x + 1OC.-2x³+4x² + 3x - 2OD. 4x³ + 2x² +5Reset Selection-2?

Answer 1

The polynomial remainder theorem states that if a polynomial p(x) is divided by (x - a), the remainder is p(a).

We need to determine which of the polynomials give -7 as the remainder when divided by x - 2. We only need to substitute x by 2.

A.

$3(2)^3+6(2)-2=24+12-2=34$

B.

$2^3-2(2)^2-4(2)+1=8-8-8+1=-7$

This is the correct answer: B.