Question

1. Solve by factoring and using the zero product property. (Diamond & x2 – 2x – 15 = 0

Answer 1

The factors are: x-5 and x+3

Step-by-step explanation:

Given

$x^2-2x-15 = 0$

Simplifying

$x^2-5x+3x-15 = 0\\x(x-5) + 3(x-5) = 0\\(x+3)(x-5) = 0$

Let us define the zero product property first

The zero product property states that

if ab=0 then either a=0 or b=0

So,

$x+3 = 0\\x+3-3 = 0-3\\x = -3\\AND\\x-5 = 0\\x-5+5 = 0+5\\x = 5$

Hence,

the factors are: x-5 and x+3

Keywords: Factorization, Zero product property

Learn more about factorization at:

• brainly.com/question/10978510
• brainly.com/question/11007026

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