Question

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 9x^{2}+64

Applications of integrals
ANSWERED
asked 2021-04-11
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(\displaystyle{9}{x}^{{{2}}}+{64}\)

Answers (1)

2021-04-13
Step 1
we have to factorise the polynomial.
\(\displaystyle{f{{\left({x}\right)}}}={9}{x}^{{{2}}}+{64}\)
Step 2
\(\displaystyle{f{{\left({x}\right)}}}={9}{x}^{{{2}}}+{64}\)
here f(x)>0
f(x) cannot be factored for real values of x.
therefore
\(\displaystyle{9}{x}^{{{2}}}+{64}\) is prime.
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