Question

Factor 5x^2+28x -12

(SHOW THE STEPS !!!!)

Answer 1

The answer is (x+6) x (5x-2)

Change 5x ^2 + 28x - 12

To:

5x^2 + 30x - 2x - 12

Factor the expression

5x (x + 6) - 2 ( x + 6)

Factor out x + 6

To get

(x + 6) (5x-2)

that’s the answer because their are no like terms.

Answer 2

I'd start by finding the roots of the given expression. From these roots you can write the factors.
-28 plus or minus sqrt(28^2 - 4(5)(-12)
x = ------------------------------------------------------
10
-28 plus or minus sqrt(784+240)
= -----------------------------------------------
10
-28 plus or minus 35 (approx)
= ---------------------------------------------
10
35-28 -28-35
= ------------- and ------------ These roots are only approximate. However,
10 10 if we treat them as exact, with one root
equal to 7/10 and the other -63 / 10

then the factors of the polynomial would be, approx., x-7/10 and x+63/10.

Please double check to ensure that you've copied down the problem completely and accurately. Thanks.