Question

Find the remainder when f(x) = 2x3 − 3x2 + 7x − 7 is divided by 2x − 1, and use it to determine if 2x − 1 is a factor.

−5.625; it is not a factor
−4; it is not a factor
−1.5; it is not a factor
0; it is a factor

Answer 1

B. -4; it is not a factor

Answer 2

Remainder: -4

Not a factor

Explanation:

Use factor theorem:

x = ½

2(½)³ - 3(½)² + 7(½) - 7

-4

When divided by a factor, remainder should be 0. It's not a factor