Question

Which of the following are roots of f(x)=15x³ - 22x² − 145x + 28?

A) -4
B) 15
C) -15
D) -73

Answer 1

The roots of the function f(x) = 15x³ - 22x² - 145x + 28 are -4, 15, and -15.

Step-by-step explanation:

The roots of the polynomial function f(x) = 15x³ - 22x² - 145x + 28 can be found by equating it to zero and factoring the expression. We can use long division or synthetic division to find the first root, which is -4. By performing long division or synthetic division on the resulting quadratic, we can find the remaining roots to be 15 and -15. Therefore, the roots of the function f(x) are A) -4, B) 15, and C) -15.