Factoring Polynomials (Day 1)

Factoring Polynomials (Day 1)

FIRST!

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OK, let's get started!

Finding the Greatest Common Factor

A factor is something that can be multiplied by something else.

A common factor is something that all parts of an expression share.

The GREATEST common factor is the factor that all parts of an expression share but is also the largest possible value.

Multiple Choice

What is the GCF of 12 and 52?

• 4

• 3

• 6

• 12

Multiple Choice

What is the GCF of 4 and 12?

• 3
• 1
• 6
• 4

Multiple Choice

What is the GCF of 20 and 30?

• 5
• 2
• 10
• 20

Multiple Choice

Find the GCF of 64 and 144

• 8
• 6
• 16
• 2

GCF of a Polynomial

When working with polynomials, the GCF often includes variables. It is important to take these into consideration when looking for your factors.

GCF of a Polynomial

When you "factor out" the GCF of a polynomial, don't forget to write down everything else that you left behind!

GCF of a Polynomial

When you "factor out" the GCF of a polynomial, don't forget to write down everything else that you left behind!

A demonstration video is also available for you. It is linked on Google Classroom.

Multiple Choice

What is the GCF of 28ab and 42b?

• 4b

• 6b

• 7b

• 14b

Multiple Choice

What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

Multiple Choice

−28a⁶ +20a⁴ −40a³

Find the GCF

• 4a²

• 4a³

Multiple Choice

2x³y⁸ + 6x⁴y² + 10x⁵y¹⁰

What is the GCF?

• 2x³y²

• x³y²

• 2

• -x³y²

Multiple Choice

Factor by using the GCF 4x + 6

• 4(x + 2)

• 2(2x + 3)

• 2(2x + 4)

• 4(x + 2/3)

Multiple Choice

Factor by using the GCF w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Multiple Choice

Factor by using the GCF 8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Open Ended

Do you have any questions so far? I am here to help!

Multiple Choice

Factor by using GCF:

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• Prime

Multiple Choice

Factor by using GCF:

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Multiple Choice

Factor by using GCF:

4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Multiple Choice

Factor by using GCF:

3x³ + 9x² - 15x

• x(3x² + 9x - 15)

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15)

• x(3x² -9x + 15)

Multiple Choice

Factor by using GCF:

8n³ + 2n²

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

Factor out the GCF for each of the following expressions on p. 48 in your Notebook:

•  $48x^3-12x^2+6x$  

•  $5a^4+10a^2$  

•  $2ab+10a$ 

•  $22x^4-121x$  

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