Question

G(x)= (x^2 +4x-12)(x-3) find the roots

Answer 1

Answer:

x = 3 or x = 2 or x = -6

Step-by-step explanation:

Solve for x:

(x - 3) (x^2 + 4 x - 12) = 0

Split into two equations:

x - 3 = 0 or x^2 + 4 x - 12 = 0

Add 3 to both sides:

x = 3 or x^2 + 4 x - 12 = 0

The left hand side factors into a product with two terms:

x = 3 or (x - 2) (x + 6) = 0

Split into two equations:

x = 3 or x - 2 = 0 or x + 6 = 0

Add 2 to both sides:

x = 3 or x = 2 or x + 6 = 0

Subtract 6 from both sides:

Answer: x = 3 or x = 2 or x = -6