Exercise 37 Page 184

To factor the given polynomial, we will start by factoring out the greatest common factor (GCF).

3 r^{8} + 3 r^{5} - 60 r^{2}

Factor out $3 r^{2}$

3 r^{2} (r^{6} + r^{3} - 20)

Let's temporarily only focus on the result of factoring out the GCF. We will need to define another variable. If we let

z = r^{3},

we can rewrite the expression in terms of the

z -

variable.

r^{6} + r^{3} - 20 \Leftrightarrow z^{2} + z - 20