Question

What are the zeros of the polynomial function? f(x)=x2−4x−60 Enter your answers in the boxes. The zeros of f(x) are and.

Answer 1

Answer:

x = -6, 10

Step-by-step explanation:

Hi there!

$f(x)=x^2-4x-60$

Let f(x) = 0:

$0=x^2-4x-60$

Factor the equation:

$0=x^2-10x+6x-60\\0=x(x-10)+6(x-10)\\0=(x+6)(x-10)$

The zero-product property tells us that when two terms are multiplied and they equal zero, one of the terms must be zero.

Therefore, either (x+6) or (x110) is equal to 0:

x+6 = 0 ⇒ x = -6

x-10 = 0 ⇒ x = 10

Therefore, the zeros of f(x) are -6 and 10.

I hope this helps!