Write An Equation In Which The Quadratic Expression 2x^2-6x-8 Equals 0. Show The Expression In Factored Form, Find The Solution And Explain What Your

Write an equation in which the quadratic expression 2x^2-6x-8 equals 0. Show the expression in factored form, find the solution and explain what your solutions mean for the equation. Remember to show your work.

 

Answer:(x-4)(x+1)

Step-by-step explanation:

2x^2-6x-8 is given as 0

So 2x^2-6x-8=0

2(x^2-3x-4)=0

That is x^2-3x-4=0

It can also be written as

x^2+(-4x+x)-4=0

Taking x common

x(x-4)+1(x-4)=0

Taking x-4 common

(x+1)(x-4)=0

That is

Either x+1=0 or x-4=0

Therefore x=-1 or x=4

The significance is that if we put these values in the equation then the solution will be 0


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