Question

Find the complete factored form of the polynomial 5b-15c

Answer 1

5(b-3c)

Divide the entire polynomial by 5, as that is the only factor that is common throughout the entire polynomial.

Answer 2

For this case we have the following polynomial:
 $5b-15c$
 The first thing we must observe is the most repeated factor.
 We observe that this factor is 5.
 We can do common factor 5 to rewrite the polynomial.
 We then have to rewrite:
 $5b-15c = 5 (b-3c)$
 Answer:
 The rewritten polynomial is given by:
 $5 (b-3c)$