Question

Write a quadratic function when given -2 and 2/3 as the zeros.

Please show all work!

Answer 1

Answer:

3x^2 + 4x - 4 = 0

Step-by-step explanation:

Given -2 and 2/3 as the zeros.

x = -2 so x + 2 = 0

x = 2/3 so 3x = 2 then 3x - 2 = 0

Now use the zero product property

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

3x^2 - 2x + 6x - 4 =  0  <----Using FOIL

3x^2 + 4x - 4 = 0   Combine like terms

So answer:

3x^2 + 4x - 4 = 0