Factoring Polynomials Using Grouping

Factor by Grouping:

p⁴ - 3p³ - 16p² + 48p

• p² ( p - 3) (p - 3)

• (p³ - 16) (p - 3)

• (p + 4) (p - 4) (p - 3)

• (p³ - 16p) (p - 3)

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4)

• (x+4)(x² -4)

• (x-4)(x-2)

Factor by Grouping:

3x³-x²+6x-2

• (x²+2)(3x+1)

• (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the above

Factor Completely: 14p²-24p-8

• (5p+3)(p-4)

• (3p-2)(p+10)

• 2(7p-2)(p+2)

• 2(7p+2)(p-2)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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

• x⁴(x² - 5x - 24)
• (x - 8)(x + 3)
• x⁴(x - 8)(x + 3)
• (x³ - 8)(x³ +3)