Question

Which are solutions of the equation (x + 5)(x – 3) = 0? Check all that apply.

x = –15
x = –5
x = –3
x = 2
x = 3
x = 5

Answer 1

`x = -15\\x = -5 \ \large \checkmark\\ x = -3\\x = 2\\x = 3 \ \large \checkmark \\x = 5`

Explanation:

Note : the zero product property :

a × b = 0 ⇔ a = 0 or b = 0

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(x + 5)(x – 3) = 0 ⇔ x + 5 = 0 or x – 3 = 0

⇔ x = –5 or x = 3