Rewriting Polynomials by Factoring

We will factor the polynomial by grouping. To do so, we will take the greatest common factor of the first pair of terms and the greatest common factor of the second pair of terms.

3 a^{3} + 18 a^{2} + 8 a + 48

FactorOutFactor out

3 a^{2}

3 a^{2} (a + 6) + 8 a + 48

FactorOutFactor out

8

3 a^{2} (a + 6) + 8 (a + 6)

FactorOutFactor out

(a + 6)

(a + 6) (3 a^{2} + 8)

CommutativePropAddCommutative Property of Addition

(3 a^{2} + 8) (a + 6)

Rewriting Polynomials by Factoring 1.11 - Solution