How do you find all zeros of the function #f(x) = x² – 9x – 70#?

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Answer 1 · 2018-08-11T20:10:33

#f(x)# has zeros #x=14# and #x=-5#

Given:

#f(x) = x^2-9x-70#

Find two factors of #70# which differ by #9#.

The pair #14, 5# works.

Hence we find:

#f(x) = x^2-9x-70 = (x-14)(x+5)#

So #f(x)# has zeros #x=14# and #x=-5#