Factoring by Grouping Practice

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Factor by grouping:
 12a² - 15ab - 16a + 20b 

• 3a ( 4a - 5b) - 4 ( 4a - 5b )

• ( 4a - 5b)( 3a - 4 )

• ( 6a - 10b )( 2a - 2b)

• Prime 

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor Completely: 14p²-24p-8

• (5p+3)(p-4)

• (3p-2)(p+10)

• 2(7p-2)(p+2)

• 2(7p+2)(p-2)

When factoring, the first thing you look for is ​ (a)   . If there are two terms, try to factor by using ​ (b)   If there are three terms, try to factor by using ​ (c)   If there are four terms, try to factor by using ​ (d)  

• GCF

• DOTS

• Trinomial a*c & b

• Grouping (Chop it)

Mathematical Equivalence

ON

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)

•  (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe

Factor using Factoring by Grouping: 2n⁴ + 7n³ - 4n - 14

• (n - 2)(n - 2)(n - 2)(2n + 7)

• (n - 2)³(2n + 7)

• (n³ - 2)(2n + 7)

• (n + 1)(n - 1)(2n + 7)