Question

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

Select EACH correct answer.

Which two equations would be most appropriately solved by using the quadratic formula?

Select EACH correct answer.

Answer 1

for the zero product property questions it's choices 2 and 3 since they're quadratics factored and set equal to zero.

for the quadratic formula questions it would be answer choices 2 and 3 also because they're unfactored trinomial quadratic expressions

Answer 2

1 - B and C

2 - B and C

Explanation:

Ques 1: We know that,

Zero Product Property states that 'If ab=0, then either a=0 or b=0 or both are zero'.

So, from the options, we see that,

The equation
`(x-3)(x+4)=0` can be solved using this property.

Also, the equation
`2x^2+6x=0` can be simplified to
`2x(x+3)=0`.

So, this
`2x(x+3)=0` can also be solved by the given property.

Since, the other options cannot be factorized.

Hence, the correct options are B and C.

Ques 2: We know that,

The quadratic formula is used to solve find the solution of the quadratic equation of the form
`ax^2+bx+c=0`.

So, from the options, we see that,

The equations
`(x-3)^2=36` and
`(x+8)(x+9)=0` can be solved directly by using the 'Zero Product Property'.

The other equations cannot be solved directly and would be solved using the quadratic formula.

Hence, the correct options are B and C.