Respuesta :
The two factors are (x + 1) and (5x - 2) which can be multiplied together to make the trinomial 5x² + 8x – 4.
What is a quadratic equation ?
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
= 5x² + 8x – 4
By using the factorization method:
= 5x² + 8x – 4
[tex]= \rm \left(5x^2-2x\right)+\left(10x-4\right)[/tex]
[tex]\rm =x\left(5x-2\right)+2\left(5x-2\right)[/tex]
[tex]\rm =\left(5x-2\right)\left(x+2\right)[/tex]
Thus, the two factors are (x + 1) and (5x - 2) which can be multiplied together to make the trinomial 5x² + 8x – 4.
Learn more about quadratic equations here:
brainly.com/question/2263981
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