SOLUTION: Find the real zeros of the given function. Use the real zeroes to factor the function. Shown work would be extremely helpful. 𝑓𝑥 =3𝑥^3−7x^2+12&#11

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the real zeros of the given function. Use the real zeroes to factor the function. Shown work would be extremely helpful. 𝑓𝑥 =3𝑥^3−7x^2+12&#11      Log On


   



Question 1079207: Find the real zeros of the given function. Use the real zeroes to factor the
function. Shown work would be extremely helpful.
𝑓𝑥 =3𝑥^3−7x^2+12𝑥−28

Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.
3x%5E3+-+7x%5E2+%2B+12x+-+28 = (apply grouping) = %283x%5E3+%2B+12x%29 - %287x%5E2%2B28%29 = 3x%2A%28x%5E2%2B4%29 - 7%2A%28x%5E2%2B4%29 = %283x-7%29%2A%28x%5E2%2B4%29.


The real zero is x = 7%2F3.


The two complex zeroes are x = 2i  and  x = - 2i.

Solved.