Question

A quadratic function can be written in the

form h(x) = k(x - a)(x - b), where a and b
are the zeros of the function. Write () hx
in standard form if its zeros are 3 and 4
and k is 5.

Answer 1

h(x) = 5x² - 35x + 60

Explanation:

Given the zeros are 3 and 4 then the corresponding factors are

(x - 3) and (x - 4), then

h(x) = 5(x - 3)(x - 4) ← expand factors using FOIL

= 5(x² - 7x + 12) ← distribute by 5

= 5x² - 35x + 60 ← in standard form