Question

Use the zero product property to find the solutions below

Answer 1

Explanation:

1. (x - 3)(x + 7) = 0

By zero product property,

(x - 3) = 0 ⇒ x = 3

(x + 7) = 0 ⇒ x = -7

2. (2x + 6)(x - 7) = 0

2(x + 3)(x - 7) = 0

By zero product property,

(x + 3) = 0 ⇒ x = -3

(x - 7) = 0 ⇒ x = 7

3). (4x - 2)(x + 4) = 0

2(2x - 1)(x + 4) = 0

(2x - 1) = 0 ⇒ x =
`(1)/(2)`

(x + 4) = 0 ⇒ x = -4

4. (5x - 1)(3x + 9) = 0

3(5x - 1)(x + 3) = 0

By zero product property,

(5x - 1) = 0 ⇒ x =
`(1)/(5)`

(x + 3) = 0 ⇒ x = -3

5. (x - 8)(x + 2) = 0

By zero product property,

(x - 8) = 0 ⇒ x = 8

(x + 2) = 0 ⇒ x = -2