Review For X Method and Bubble Method

Factoring a Trinomial where a>1

Remember that factoring is rewriting a polynomial as the product of it's factors!

Rules for Factoring Trinomials with a > 1 ax² + bx + c
X Method ----> Bottoms Up

• ALWAYS check for a GCF first.

• If we use the X Method (Bottoms Up)

• Multiply a and c and put it in the top, put b in the bottom

• Find the pair of numbers that multiply to give you ac and add up to b.

• Once you find them divide the factors by a

• Go Bottoms Up

• Check your work!

Rules for Factoring Trinomials with a > 1 ax² + bx + c
Bubble Method

• ALWAYS check for a GCF first or factor out a negative if a is negative

• Bubble your factors for a and bubble your factors for c

• Were looking for the bubbles that multiply and add to get b

• Once you find it write your two sets of ( )

• **Remember who they connect to go into opposite ( ).

• Check your work!

Example: 3a² + 4a + 1 (a= , b= , c= )

Example: 4y² + 7y - 2 (a= , b= , c= )

Example: 6x² + 5x - 6 (a= , b= , c= )

Multiple Choice

Factor: 2x² + 11x + 12

• (x + 4)(2x + 3)

• (x + 4)(x + 6)

• (x + 6)(2x + 4)

• (x + 3)(2x + 3)

Multiple Choice

Factor:
 4h² - 17h + 4

• (2h - 2)²
• 4(h + 4)(h + 1)
• (2h - 2)(2h + 2)
• (h - 4)(4h - 1)

Multiple Choice

Factor Completely:
 6x² + 5x - 6

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

Multiple Choice

Factor: 2x² - 7x - 15

• (x + 1)(2x - 15)

• (x - 3)(3x + 5)

• (x - 5)(2x + 3)

• (x - 5)(x + 3)

Multiple Choice

Factor: 5x² - 14x + 8

• (2x - 4)(x - 2)

• (x - 8)(2x + 1)

• (x - 4)(5x + 2)

• (x - 2)(5x - 4)

Multiple Choice

Factor: 3v² - 4v - 7

• (v + 3)(3v - 7)

• (3v - 7)(v + 1)

• (v - 7)(2v + 1)

• (v - 7)(3v - 1)