IDNStudy.com, ang iyong mapagkukunan para sa maaasahan at pangkomunidad na mga sagot. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.

Find a quadratic function f(x) with 3/2 and -2 as its zeros

Sagot :

since you're given with the zeros of the function then you will the idea that
x = 3/2 ; x = -2
having it equated into zero, you'll have it as:
x - 3/2 = 0; x + 2 = 0
or the factors would be
(x - 3/2)(x + 2) = 0
x² + 2x - 3/2x - 3 = 0
x² + 1/2 x - 3 = 0
multiplying the whole equation with 2 to remove the fraction you'll have
2x² + x - 6 = 0
therefore
f(x) = 2x² + x - 6