Factoring

Factoring

SOL Review

Factoring

• Factoring is the opposite Process of Multiplying Polynomials

• When Factoring, we start with the product and find the factors-that when multiplied together would produce that product.

Factoring using a GCF

(Greatest Common Factor)

Multiple Choice

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Multiple Choice

3x³ + 9x² - 15x

• x(3x² + 9x - 15)

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15)

• x(3x² +9x - 15)

Be sure to Check all choices.

• when there appears to be 2 correct choices - pick the choice that is the most factored out.

• (biggest number on the outside of parenthesis)

Trinomial Factoring

The Product of 2 Binomials.

Multiple Choice

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Multiple Choice

Factor
n² + 5n - 6

• (n - 2)(n - 3)
• (n - 1)(n + 6)
• (n + 1)(n - 6)
• (n + 2)(n - 3)

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Multiple Choice

Factor
a² - a - 12

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

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Finding One of the Factors

• Sometimes you may be asked to find "One" of the factors.

Multiple Choice

Which is one of the factors of the trinomial:

x² + 9x - 36

• (x + 12)

• (x + 9)

• (x - 12)

• (x - 9)

Multiple Choice

Determine one of the factors of:

a² - a - 12

• (a - 3)

• (a - 4)

• (a + 4)

• (a + 6)

Multiple Choice

Which is a factor of:

2n² + 13n + 15

• (n - 3)

• (3n + 7)

• (2n + 3)

• None of these

Multiple Choice

Which is a factor of:

3a² + 4a + 1

• (7a-10)

• (a - 1)

• (3a+1)

• (3a-1)

Factoring Completely

Siometimes you have to find a GCF first, then factor again.

Multiple Choice

50m³ - 2m 

• 2m(25m²-1)
• 2m(5m-1) (5m-1)
• 2m(5m-1) (5m+1)
• PRIME

Multiple Choice

15m² -10m - 25

• 5(m+1) (3m-5)
• (3m-5) (5m+5)
• 5(3m²-2m-5)
• PRIME

Multiple Choice

8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3) (2x-3)
• 2x(2x+3) (2x-3)
• PRIME

Remember

Be sure to check EVERY choice and pick the one that is the most factored.