Review of Factoring
Factor: 12x3 + 4x2 – 9x – 3
Factoring by grouping
4x2(3x + 1) – 3(3x + 1)
Factoring GCF of each pair
(4x2 – 3x)(3x + 1)
Factor out (3x + 1)
Factor: 4x2 – 81
Difference of squares
(2x + 9)(2x – 9)
Factor: 12x2 + 5x – 2
Factoring by Bottom’s Up
(x + 8)(x – 3)
(x +
8
)(x
12
(x +
2
)(x
3
–
–
3
)
12
1
)
4
(3x + 2)(4x – 1)
Find factors that multiply to
be -24 and add to be 5: -8, 3
Write each factor as a
fraction over 12.
Reduce each fraction.
Bring the bottom up.
Factor: 4x2 – 24x + 32
Old-Fashioned Factoring
4(x2 – 6x + 8)
Factor GCF.
4(x – 4)(x – 2)
Find factors that multiply to
be 8 and add to be -6: -2, -4
Factor: 27x3 + 343
Sum of Cubes
a = 3x b = 7
Identify a and b.
(a + b)(a2 – ab + b2)
Write the formula.
(3x + 6)(9x2 – 21x + 49)
Substitute and simplify.
Factor: 3x2y3 – 9xy5 + 6xy4
GCF
GCF = 3xy3
Identify the GCF.
3xy3(x – 3y2 + 2y)
Factor out the GCF.