Question

What are the zeros of the quadratic equation y=5(2x−1)(x+3)?

Select all answers that apply.

Responses

x=13
x is equal to 1 third

x=2
x is equal to 2

x=3
x is equal to 3

x=5
x is equal to 5

x=−3
x is equal to negative 3

x=−12
x is equal to negative 1 half

x=12

Answer 1

To find the zeros of the quadratic equation y=5(2x−1)(x+3), we need to set y equal to zero and solve for x. Thus,

5(2x - 1)(x + 3) = 0

This equation is zero when any of the factors is zero. Therefore, the zeros are:

2x - 1 = 0, which gives x = 1/2

x + 3 = 0, which gives x = -3

Therefore, the correct answers are:

x is equal to 1 third (incorrect)

x is equal to 2 (incorrect)

x is equal to 3 (incorrect)

x is equal to 5 (incorrect)

x is equal to negative 3 (correct)

x is equal to negative 1 half (incorrect)

x=12 (incorrect)

So, the correct answers are x = -3 and x = 1/2.