What is the factored form of #f(x)= 2x^2+12x-32#? I don’t understand the steps -thanks

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Answer 1 · 2018-03-26T22:08:12

#f(x)=2(x+8)(x-2)#

First, factor out the GCF (2)

#f(x)=2(x^2+6x-16)#

Next, use the "big x" method or graphing or the quadratic formula to factor it out

Big X: Think of 2 numbers that add up to 6 and multiply to -16

#8*-2=16#

#8+(-2)=16#

The two numbers are 8 and -2

The factored form would be

#f(x)=2(x+8)(x-2)#