Question

Can you factor 2x^2+3x+12

Answer 1

Answer:

2(x - x1)(x - x2)

Step-by-step explanation:

y = 2x^2 + 3x - 12

Factored form of y:

y = a(x - x1)(x - x2)

Find x1 and x2, the 2 real roots of y. Use the improved quadratic formula.

D = d 2 = b 2 − 4 a c = 9 +96 = 105  -->  d = ± √ 105 x = − b 2 a ± d 2 a =− 3 4 ± √ 105 4 Therefor, y = 2 ( x + 3 4 +√ 105 4 ) ( x + 3 4 − √ 105 4 )