Question

X cubed minus 2 x squared minus 11 x + 12 = x cubed minus 13 x minus 12 what are the roots

Answer 1

x = 3, x = 4

Explanation:

Given

x³ - 2x² - 11x + 12 = x³ - 13x - 12

Subtract x³ - 13x - 12 from both sides

- 2x² + 2x + 24 = 0 ← in standard form ( divide all terms by - 2 )

x² - x - 12 = 0

(x - 4)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3