3-5B WarmUp - Factoring Polynomials

Factor out the Greatest Common Factor:

2x² + 6x - 20

(This means to "un-distribute the GCF (2) from the terms to create a new expression).

Mathematical Equivalence

ON

Factor out the Greatest Common Factor:

3x² + 6x - 21

(This means to "un-distribute the GCF (3) from the terms to create a new expression).

Mathematical Equivalence

ON

Factor out the Greatest Common Factor:

-5x² - 20x + 25

(This means to "un-distribute the GCF (-5) from the terms to create a new expression).

Mathematical Equivalence

ON

Factor out the Greatest Common Factor:

-3x³ - 12x² - 6x

(This means to "un-distribute the GCF (-3x) from the terms to create a new expression).

Mathematical Equivalence

ON

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Factor the trinomial.  
p² + 18p + 45

• (p + 3)(p + 6)
• (p + 15)(p + 3)
• (p + 9)(p + 9)
• (p + 12)(p + 6)

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Factor
4n²-17n-15

• (n-10)(6n+1)
• (4n-5)(n-3)
• (n-5)(4n-3)
• (n-5)(4n+3)

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Factor:

2x² + 3x - 9

• 2(x + 3)(x - 3)

• (2x - 3)²

• (x + 3)(2x - 3)

• (2x + 3)(x - 3)