Question

Is 2x+3 a factor of 2x³ - 5x² - 8x + 6? Yes or No and why?

A) Yes, because it's a linear factor of the polynomial.
B) No, because it's not a factor of the polynomial.
C) Yes, because it's a quadratic factor of the polynomial.
D) No, because it's not a polynomial.

Answer 1

Yes, 2x+3 is a factor of the polynomial.

Step-by-step explanation:

The polynomial 2x³ - 5x² - 8x + 6 can be factored as (x-2)(2x+3)(x-1). Since 2x+3 appears as a factor of the polynomial, the answer is Yes, it is a factor of the polynomial.