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

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.