Question

Which two equations would be most appropriately solved by using the zero product property?

−(x−1)(x+9)=0

4x^2= 13

3x^2−6x=0

0.25x^2+0.8x−8=0

Answer 1

The answer is
−(x−1)(x+9)=0
3x^2−6x=0

According to the zero product property:
If a * b = 0, then either a = 0 or b = 0

If −(x−1)(x+9)=0, then either x - 1 = 0 or x + 9 = 0

3x^2−6x=0 need to be written in factor form:
x(3x - 6) = 0

So if x(3x - 6) = 0, ten either x = 0 or 3x - 6 = 0