Greatest Common Factor of Polynomials

Lecture: Greatest Common Factor

Video lesson and practice questions

For the video on the next slide

• Take good notes!

• You won't be turning these in...

• But you'll have them to help you on the questions that follow the lecture.

• Get comfy, you're getting an entire class lesson in the following slide!

• If you remember this from Math 1 and you get to the point where you know what you're doing, feel free to skip to the next slide.

Multiple Choice

What is the prime factorization of the number 60?

• 4 x 3 x 5

• 2 x 2 x 3 x 5

• 2 x 3 x 3 x 5

• 2 x 3 x 1 0

Fill in the Blanks

What is the GCF of 36 and 24?

Multiple Choice

What is the GCF of the polynomial

24x⁹ - 36x⁶ + 60x³?

• 6x

• 6x³

• 24x⁹

• 24x

Multiple Choice

What is the GCF of 18k and 15k³

• 3k²
• 3k³
• 3k
• 5k

Multiple Choice

Factor out the GCF:

12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Multiple Choice

Factor:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Multiple Choice

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Multiple Choice

Factor:
56a³-8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Multiple Choice

Factor:
2n³+16n+12

• 2n(n³+24n+6)
• 2(n³+8n+6)
• 2n(n³+8n+6)
• 3(n³+8n+6)