Question

B. Solve each quadratic equation by factoring. Show your soiutions and BOx the final answer on your activity notebook. 3x^(2)+12x-15=0

Answer 1

x = - 5 , x = 1

Explanation:

3x² + 12x - 15 = 0 ( divide through by 3 )

x² + 4x - 5 = 0 ← in standard form

consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)

the factors are + 5 and - 1 , since

5 × - 1 = - 5 and + 5 - 1 = + 4 , then

(x + 5)(x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

solutions are x = - 5 , x = 1