Question

Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply.

Answer 1

ANSWER

$(5x - 2) \: and \: (x + 2)$



EXPLANATION

To determine those factors , we need to factor the quadratic trinomial

$5 {x}^{2} + 8x - 4$

We first multiply 5 by -4 to get,

$5 \times ( - 4) = - 20$

Two factors of -20 that will add up to 8 are

$- 2 \: and \: 10$


We split the middle term with these factors.




$5 {x}^{2} + 10x - 2x - 4$


We group and factor now to obtain,

$5x(x + 2) - 2(x + 2)$


We factor again to obtain,

$(x + 2)(5x - 2)$

Therefore the factors to be multiplied are,
$(5x - 2) \: and \: (x + 2)$

Answer 2

Answer:

The factors are (x+2) and (5x-2).  [3 and 5 option]

Step-by-step explanation:

Given the trinomial $5x^2+8x-4$

we have to find the factors of the above trinomial.

$5x^2+8x-4$

⇒ $5x^2-2x+10x-4$

⇒ $5x^2-2x+10x-4$

Taking x common from first two terms and 2 common from last two terms.

⇒ $x(5x-2)+2(5x-2)$

⇒ $(x+2)(5x-2)$

hence, the factors which can multiplied to make the trinomial are (x+2) and (5x-2)