Question

12 choose the correct factored form of the given equation. 5x² - 7x - 6 = 0 a (5x + 3)(x - 2)=0 b (5x + 2)(x - 3)=0 c (5x + 6)(x - 1)=0 d (5x - 6)(x + 1)=0

Explanation:

Step1: Expand each option

Option A:

$(5x + 3)(x - 2)=5x\times x-5x\times2 + 3\times x-3\times2=5x^{2}-10x + 3x-6=5x^{2}-7x - 6$.

Option B:

$(5x + 2)(x - 3)=5x\times x-5x\times3+2\times x - 2\times3=5x^{2}-15x+2x - 6=5x^{2}-13x - 6$.

Option C:

$(5x + 6)(x - 1)=5x\times x-5x\times1+6\times x - 6\times1=5x^{2}-5x+6x - 6=5x^{2}+x - 6$.

Option D:

$(5x - 6)(x + 1)=5x\times x+5x\times1-6\times x - 6\times1=5x^{2}+5x-6x - 6=5x^{2}-x - 6$.

Answer:

A. $(5x + 3)(x - 2)=0$