Question

If x = 3 is a zero of the polynomial function f(x)=2x³ +x² -25x+12, which of the following is another zero of f(x)?

a x = −3
b x = 4
c x = −4
d x = 12

Answer 1

If x = 3 is a zero of the polynomial function f(x) = 2x³ + x² - 25x + 12, the another zero of f(x) is x = -4.

Step-by-step explanation:

Given that x = 3 is a zero of the polynomial function f(x) = 2x³ + x² - 25x + 12, we need to find another zero of the function.

Since x = 3 is a zero, it means that when we substitute x = 3 into the function, it will result in f(3) = 0.

To find another zero, we can factor the polynomial using synthetic division or long division, or use a graphing calculator to find the x-intercepts. By using any of these methods, we can determine that the function has another zero at x = -4.