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
ANSWERED
asked 2021-02-22
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(\displaystyle{9}{p}^{{{2}}}-{24}{p}+{16}\)

Answers (1)

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)
\(\displaystyle={\left({3}{p}-{4}\right)}^{{{2}}}\)
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