Factoring All Polynomials

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Tags

CCSS.HSA.APR.C.4

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

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Terms in a polynomial are separated by what?

• Parenthesis

• Multiply/Divide 

• Constants

• Add/Subtract

Factor:
6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

Factor 8x³ + 18x.

• 2x(4x² + 9)

• 8x(x² + 10)

• 2(4x³ + 9x)

• 8(x³ + 10x)

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor
3x² + 5x - 12.

• (x + 3)(3x - 4)

• (3x + 4)(x - 3)

• (3x + 3)(x - 4)

• (3x - 3)(x + 4)

Factor 25x² - 81.

• (5x -  9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• cannot be factored

Tags

CCSS.HSA.APR.C.4

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Tags

CCSS.HSA.APR.C.4

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

• How many terms does it have?

• Is there a GCF?

• Have I completed all of my Algebra assignments this nine weeks?

• How long is this going to take?!?!?!