Algebra - 3.6 Factoring Practice

What is the first step when factoring polynomials?

• Factor out the GCF

• List all the terms

• Rewrite the middle term

• Multiply the first and last terms

What is the greatest common factor of

 $28x^4y^3-21xy^4+63xy^9$  

•  $7xy^3$  

•  $7xy$  

•  $7x^2y^2$  

•  $7x^2y^3$  

Tags

CCSS.HSA.APR.A.1

Factor by grouping:
4p³+8p²+3p+6

What are your two factors?

• (2p²+3)

• (p+4)

• (p+2)

• (3p+6)

• (4p²+3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Steps to Factoring by Grouping:

• Separate into groups

• Make sure the "leftover" groups match

• Factor out the GCF from each group
• Factor out the shared group & rewrite

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What two numbers when multiplied equals -56, but when you add them equals 1? CHOOSE TWO NUMBERS

• -7
• 8
• -8
• 7
• 56

Tags

CCSS.HSA-REI.B.4B

If you are factoring 2x² + 3x + 1 by rewriting the middle term to use grouping, what is true?

• the coefficients on the middle term must add to 3 and multiply to 2

• the coefficients on the middle term must add to 3 and multiply to 1

• the coefficients on the middle term must add to 2 and multiply to 3

• the coefficients on the middle term must add to 3 and multiply to 1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If factoring

3a² - 7a + 4

by rewriting the linear term and using grouping, how would your rewritten expression look?

• 3a² - 3a - 4a + 4

• 3a² - 5a - 2a + 4

• 3a² - 3a + 4a + 4

• 3a² - 2a - 6a + 4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Factor x²-10x+24. Which of the following is one of its two factors?

• x-4

• x+4

• x+6

• x-2

• x-8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• None of the above. The trinomial is prime.

Tags

CCSS.HSA.APR.B.3

Factor completely:

3x² + 18x +15

and choose all 3 factors below.

(Hint: Don't forget to factor out the GCF first!)

• (x + 3)

• (x - 1)

• (x + 1)

• 3

• (x+5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3