Question

Use factoring and the zero-product property to find the zeros of:
f(x) = 2x² + 3x-2

Answer 1

Step-by-step explanation:To find the zeros of the quadratic function f(x) = 2x² + 3x - 2, we can use the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

We can write the function as follows:

f(x) = 2x² + 3x - 2 = 0

We can then factor the quadratic as follows:

f(x) = 2(x-1)(x+1) = 0

Since the product of the factors is zero, at least one of the factors must be zero. Therefore, the zeros of the quadratic are x = 1 and x = -1.