Exercise 11 Page 184

We want to completely factor the given expression. To do so, we will first identify and factor out the greatest common factor (GCF).

Factor Out the GCF

The greatest common factor (GCF) of an expression is a common factor of the terms in the expression. It is the common factor with the greatest coefficient and the greatest exponent. The GCF of the given expression is

w^{8} .

10 w^{10} - 19 w^{9} + 6 w^{8}

SplitIntoFactors

Split into factors

w^{8} (10 w^{2}) - w^{8} (19 w) + w^{8} (6)

FactorOut

Factor out $w^{8}$

w^{8} (10 w^{2} - 19 w + 6)

The result of factoring out the greatest common factor from the given expression is a quadratic expression with a leading coefficient of

10 .