Factoring Quadratics

a

Both terms contain a factor of

x .

Thus, we will factor it out.

x^{3} - 5 x

SplitIntoFactorsSplit into factors

x \cdot x^{2} - x \cdot 5

FactorOutFactor out

x

x (x^{2} - 5)

b

When we split an expression up into its factors, we begin by examining each term to see if they have any factors in common.

9,

6

and

12

are all divisible by

3 .

9 x - 6 y + 12

SplitIntoFactorsSplit into factors

3 \cdot 3 x - 3 \cdot 2 y + 3 \cdot 4

FactorOutFactor out

3

3 (3 x - 2 y + 4)

Factoring Quadratics 1.1 - Solution