Question

Determine a forma fatorada da equação 3x^2 + 6x-24 =0.
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Answer 1

Olá!

$3 {x}^{2} + 6x - 24 = 0 \: (\div3) \\ {x}^{2} + 2x - 8 = 0 \\ {x}^{2} + 4x - 2x - 8 = 0 \\ x \times (x + 4) - 2(x + 4) = 0 \\ (x + 4) \times (x - 2) = 0$

x + 4 = 0

x = 0 - 4

x = - 4

x - 2 = 0

x = 0 + 2

x = 2

S = {- 4, 2}

Answer 2

3x² + 6x - 24 =0 ( ÷ 3)

x² + 2x - 8 = 0

x² + 4x - 2x - 8 = 0

(x + 4) • (x - 2) = 0