Question

# Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 9p^{2}-24p+16

Applications of integrals
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
$$\displaystyle{9}{p}^{{{2}}}-{24}{p}+{16}$$

2021-02-24
Given,
$$\displaystyle{9}{p}^{{{2}}}-{24}{p}+{16}$$
Step 2
On simplification, we get
$$\displaystyle{9}{p}^{{{2}}}-{24}{p}+{16}={9}{p}^{{{2}}}-{12}{p}-{12}{p}+{16}$$
=3p(3p-4)-4(3p-4)
=(3p-4)(3p-4)
$$\displaystyle={\left({3}{p}-{4}\right)}^{{{2}}}$$