How do you find a polynomial function that has zeros 2, -6?

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Answer 1 · 2017-01-03T15:22:55

#f(x)=x^2+4x-12#

The zeros are #2# and #-6#

Reverse their signs, you will get

#-2# and #6#

#(x-2)# and #(x+6)# will be a factor of the polynomial function

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

Multiply the two expressions

#f(x)=x^2+6x-2x-12#

Combine like terms

#f(x)=x^2+4x-12#