Find the complete factored form of the polynomial:

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

Question

Find the complete factored form of the polynomial:

-36a to the 3rd + 30a to the 6th

563blackghost · Answer

$\huge{-36a^{3}+30a^{6}}$ 

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....

$\huge\color{red}{-6a^{3}(6-5a^{3})}$

563blackghost · Answer

Do you understand my process?