IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksaktong sagot. Sumali sa aming platform upang makatanggap ng mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

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