Question

1. What is the factored form of 5x2 - 8x – 4?

Answer 1

Answer:

(5x  + 2)  (x -  2 )

Step-by-step explanation:

5x^2 - 8x – 4

(5x   )  (x    )

We need the middle to be -8   and 4 factors into 4*1  and 2*2

5*2 = 10 -2 = 8

(5x   2)  (x   2 )

Now determine the signs

We need -8 so 5*2 must be negative and the 2*1 must be positive

(5x  + 2)  (x -  2 )

Answer 2

$\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}$

$\implies 5x^2-8x-4\\\\\implies 5x^2-10x+2x-4\\\\\implies 5x(x-2)+2(x-2)\\\\\dashrightarrow (x-2)(5x+2)$