Question

factor
2x² - 13x - 70
(2x + 7)(x - 10)
(7x + 5)(x + 2)
(2x - 7)(x + 10)
2(x + 7)(x + 10)

Explanation:

Step1: Expand each option

• Option 1: \((2x + 7)(x - 10)=2x^2-20x + 7x-70=2x^2-13x - 70\)
• Option 2: \((7x + 5)(x + 2)=7x^2+14x + 5x+10=7x^2+19x + 10\)
• Option 3: \((2x - 7)(x + 10)=2x^2+20x - 7x-70=2x^2+13x - 70\)
• Option 4: \(2(x + 7)(x + 10)=2(x^2+10x + 7x+70)=2(x^2+17x + 70)=2x^2+34x + 140\)

Answer:

A. \((2x + 7)(x - 10)\)