Question

If 2x^2+5x-12 = (2x-3)(x+4), which equation(s) should be solved to find the roots of 2x^2+5x-12=0? Check all that apply.

Answer 1

Explanation:

Question 2 of 10 If 2x ^ 2 + 5x - 12 = (2x - 3)(x + 4) which equation(s) should be solved to find the roots of 2x ^ 2 + 5x - 12 = 0 Check all that apply.

Answer 2

2x-3=0

and

x+4=0

EXPLANATION

Given that:

`2 {x}^(2) + 5x - 12 = (2x - 3)(x + 4)`

Then to find roots of

`2 {x}^(2) + 5x - 12 = 0`

is the same as finding the roots of

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

By the zero product property, we must have either,

`2x - 3 = 0 \: or \: x + 4 = 0`

Hence the equations that must be solved to find the roots are:

2x-3=0

and

x+4=0