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

ANSWER

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

Answer 2

Answer:

2x-3=x and x+4=0

Step-by-step explanation:

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