Polynomial Special Cases Factoring

Special Factoring Patterns

Multiple Choice

Which trinomial has a leading coefficient = 1?

• X² + 5x + 6

• 2X² + 5x + 6

Multiple Choice

Factor: X² + 5x + 6

• ( x + 1) ( x + 3)

• (x+ 3)( x + 2)

• (3x + 2)(x+1)

Trinomial with a = 1

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Multiple Choice

Factor: x² – 5x – 24

Using a shortcut

• (x - 5)(x + 19)

• (x - 8)(x + 3)

• (x - 3)(x + 8)

• (x - 19)(x + 5)

Multiple Choice

Fa^cto^r x_ ^^^2 - 11x - 60

Using a shortcut

• (x-12)(x-5)

• (x-15)(x+4)

• (x-15)(x-4)

• (x+12)(x-5)

Perfect Square Trinomials

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Multiple Choice

Factor:

64x²-16x+1

• Not factorable.

• (32x-1)²

• (8x+1)²

• (8x-1)²

Multiple Choice

 Factor:

$$4x^2+20x+25$$

• $$\left(2x+5\right)\left(2x-5\right)$$  

• $$\left(2x+5\right)^2$$  

• $$\left(4x+5\right)^2$$  

• $$\left(2x-5\right)^2$$  

Multiple Choice

Which binomial represents a difference of two perfect squares?

• 41x + y²

• x² - 50

• 4x²- 100

Difference of Two Perfect Square

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Multiple Choice

Factor using a shortcut:

x² - 169

• ( x - 13) ( x + 13)

• ( x + 13) ( x + 13)

• ( x - 13) ( x -13)

• Prime

Multiple Choice

Factor:

25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Multiple Choice

Factor using a shortcut:

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Prime

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Multiple Choice

Factor using a shortcut:

x² + 81

• Prime (not factorable)

• ( x - 9 ) ( x + 9 )

• ( x + 9 ) ( x + 9 )

• ( x - 9 ) ( x - 9 )

Multiple Select

Which of the following can be factored with a special shortcut?

• Perfect Square Trinomials

• Difference of Perfect Square

• Factory by Grouping

• All of these

Poll

How comfortable are you factoring special patterns?

• Expert

• Learning

• Need more practice

• I'm very confused