Respuesta :

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!

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!!!!                                              : )