Question

Find the complete factored form of the polynomial:

-36a to the 3rd + 30a to the 6th

Answer 1

\(\huge{-36a^{3}+30a^{6}}\)

We will factor out the GCF....We know that \(\large{36a^{3}}\) and \(\large{30a^{6}}\) are both divisible by \(\large{6a^{3}}\) but we have a negative so we would instead do divide be \(\LARGE\color{Red}{-6a^{3}}\)....

So we would do this equation....

\(\huge\color{purple}{\frac{-36a^{3}}{-6a^{3}}+\frac{30a^{6}}{-6a^{3}}}\) in which we would get....

\(\huge\color{orange}{6-5a^{3}}\) So we put this equation in paranthesis and input what we divide on the outside so it is factored as....

\(\huge\color{red}{-6a^{3}(6-5a^{3})}\)

Answer 2

Do you understand my process?