Question

Which two equations would be most appropriately solved by using the zero product property? Select each correct answer.

Answer 1

1) (x + 4)(x - ½) = 0

4x² + 16x = 0

2) 0.25x² + 0.8x - 8 = 0

3x² - 4x = 15

Explanation:

1) (x + 4)(x - ½) = 0

x = -4, ½

4x² + 16x = 0

4x(x + 4) = 0

x = 0, -4

2) (x - 6)(x + 9) = 0

x = 6, -9

(x - 1)² = 4

(x - 1)² - (2)² = 0

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

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

x = 3, -1

These two are easier to solve using product = 0 property, while the other two would be easier using the quadratic formula