Find a common monomial factor

1
EXAMPLE 1
Find a common monomial factor
Factor the polynomial completely.
a. x3 2x2 15x
Factor common monomial.
x(x2 2x 15)
x(x 5)(x 3)
Factor trinomial.
2y3(y2 9)
b. 2y5 18y3
Factor common monomial.
2y3(y 3)(y 3)
Difference of two squares
4z2(z2 4z 4)
c. 4z4 16z3 16z2
Factor common monomial.
4z2(z 2)2
Perfect square trinomial
2
EXAMPLE 2
Factor the sum or difference of two cubes
Factor the polynomial completely.
a. x3 64
x3 43
Sum of two cubes
(x 4)(x2 4x 16)
2z2(8z3 125)
b. 16z5 250z2
Factor common monomial.
Difference of two cubes
2z2(2z 5)(4z2 10z 25)
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for Examples 1 and 2
GUIDED PRACTICE
Factor the polynomial completely.
1. x3 7x2 10x
ANSWER
x( x 5 )( x 2 )
2. 3y5 75y3
3y3(y 5)(y 5 )
ANSWER
3. 16b5 686b2
2b2(2b 7)(4b2 14b 49)
ANSWER
4. w3 27
(w 3)(w2 3w 9)
ANSWER