Solution:
we have been asked to find the zeros of the given polynomial function.
The given Polynomial function is
[tex] f(x)=x^2+9x-70 [/tex]
As we know that the zeros of the polynomial function is defined as the values for which the function returns zero.
So we can write
[tex] x^2+9x-70=0\\
\\
x^2+14x-5x-70=0\\
\\
\
x(x+14)-5(x+14)=0\\
\\
\
(x+14)(x-5)=0\\
\\
\Rightarrow x=5, x=-14 [/tex]
The zeros of f(x) are 5 and -14