Factoring a Polynomial

Factor
5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

What do you call a polynomial that cannot be factored?

• FOIL

• Simplified

• Prime

• Proper

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor the GCF: 3x³ + 9x² - 15x

• x(3x² + 9x - 15)

• 3x(x² + 2x - 5)

• 3x(x² - 9x + 15)

• x(3x² -9x + 15)

What is the first question you ask yourself when factoring a polynomial? 

• What color nail polish should I wear tomorrow? 

• Is there a GCF? 

• How many ceiling tiles are in here? 

• Why do I have to learn this?!?!?!

Factor using Difference of Squares:

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x - 7y³)

• Prime