Question

F(x)=2x³-5x²-8x+15 is evaluated at x=3, and f(3)=0 s a factor of the polynomial.

Answer 1

The given polynomial f(x)=2x³-5x²-8x+15 has x=3 as a factor.

Step-by-step explanation:

The given polynomial is f(x)=2x³-5x²-8x+15. We are told that f(3) = 0, which means that x=3 is a factor of the polynomial. To verify this, we can substitute x=3 into the polynomial and check if the result is 0:

f(3) = 2(3)³ - 5(3)² - 8(3) + 15 = 0

Hence, f(3) = 0, so x=3 is indeed a factor of the polynomial.