Question

How do I factor 5x^2 + 28x + 32 ?

Answer 1

Hi! First, you want to work out your exponets. We have a 5x to the 2nd power (5x^2). Look at it as 5x•5x, “• means to multiply” so that will equal 25x. Next, put it back in the equation. That’ll be 25x+28x+32. Next step is to combine variables . The variables are 25x and 28x. this will equal, 53x. Put that back into the equation, which will now be 53x+32. This will be your answer since you cannot combine those two! Hope this works!

Answer 2

Factor:

5x^2 + 28x + 32 =======> Solution: ======> ( x + 4 ) ( 5x + 8 )

Steps: Factor

5x^2 + 28x + 32

Break the expressions into groups:

( 5x^2 + 20x ) + ( 8x + 32 )

Factor Out 5x^2 From 5x^2 + 20x ======> 5x( x + 4 )

Factor Out the 8 From 8x + 32 ========> 8 ( x + 4 )

= 5x (x + 4 ) + 8 ( x + 4 )

Factor Out Common term:

x + 4

Answer =====> Factor of; ==> 5x^2 + 28x + 32 ( x + 4 ) ( 5x + 8 )

Hope that helps!!!! : )