Question

Question 10

If Laura uses factoring to find the zeros of the quadratic function f(x) = 3x2 + 10x – 8, which of the following is the factored
form of the function?

Answer 1

The factored form of the quadratic function f(x) = 3x^2 + 10x - 8 is f(x) = 3(x + 4)(x - 2).

Step-by-step explanation:

To find the factored form of the quadratic function f(x) = 3x^2 + 10x - 8, we need to use factoring.

First, we can calculate the zeros by factoring the quadratic function. We need to find two numbers that multiply to get -8 (the constant term) and add up to 10 (the coefficient of x).

The numbers that satisfy these conditions are 4 and -2. So, the factored form of the function is f(x) = 3(x + 4)(x - 2).