Factoring by Grouping
Factor each polynomial using the grouping method
1) 6mn – 9m –4n + 6
2) 2x2y + 6xy – x – 3
3) 6xy2 – 3xy + 8y – 4
4) 2ac + ad + 6bc + 3bd
5) 5a2 – 4ab + 12b3 – 15ab2
6) 2ab + 2am – b – m
7) a2 – 2ab + a – 2b
8) 6a2 – 6ab + 3cb – 3ac
9) a3 – a2b + ab2 – b3
10) If the area of a rectangle is 5xy + 15x –6y – 18 cm2, what are the length and width of the rectangle?
11) What are the dimensions of rectangle that has an area of 4z2 – 24z – 18m + 3 mz ft2?
12) What are the dimensions of a cube that has a volume of 24x + 8xy – 2y – 6 inches cubed?
Key
1) (3m–2)(2n–3)
2) (2xy–1)(x + 3)
3) (3xy + 4 )(2y–1)
4) (a + 3b)(2c + d)
5) (a – 3b2)(5a – 4b)
6) (2a – 1)(b + m)
7) (a + 1)(a – 2)
8) 3(2a – c)(a – b)
9) (a2 + b2) (a – b)
10) length: 5x – 6 cm
11) length: 4z + 3m ft
Width: y + 3 cm
12) length: 4x – 1 inches
Width: y + 3 inches
Height: 2 inches
Width: z – 6 ft