104k views
2 votes
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?

Which of the following polynomials has a remainder of -7 when divided by aOA. 31³ +62 – 2B-example-1

1 Answer

4 votes

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.

User Greg Lever
by
7.0k points