How do you factor #8x ^ { 2} + 33x + 16#?

1 Answer
Nov 20, 2017

#x = -1/4,-2#

Explanation:

I would use the slip-and-slide method that was taught at my school!

  1. Multiply the 8 and the 16 together
    #x² + 33x + 128#

  2. Factor the remaining equation
    #(x + 4) (x + 32)#

  3. Divide each factor by 16
    #(x + 1/4) (x + 2)#
    If your instructor wants it to be more organized, format the answer like this:
    #(4x + 1) (x + 2)#

  4. Your answer!
    #x = -1/4,-2#

Hope that helped!