Factoring and Greatest Common Factor

Why do we need to find the GCF of polynomials? Choose the BEST option.

• Because Ms. Cooper and Ms. Glefke said so

• To simplify the polynomials as much as possible before working with them

• To get rid of stuff

• Because the GCF makes the problem impossible to solve

Factor:

56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:
2n³+16n+12

• 2n(n³+24n+6)

• 2(n³+8n+6)

• 2n(n³+8n+6)

• 3(n³+8n+6)

Factor
12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

5ab²c¹¹ + 2bc⁵

• bc⁵(5ab²c⁶ + 2b)

• bc⁵(5abc⁶ + 2)

• b²c⁵(5bc⁶ + 2)

• c4(5a²b²c⁷ + 2bc)

Factor

10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

8x + 24

• 8(x + 3)

• 4(2x + 6)

• 2(4x + 12)

• prime

What is the GCF of 18 and 45?

• 3

• 12

• 9

• 6

Which is a common factor of 12x and 27?

• x

• 12

• 3

• 9

What is the greatest factor of 28 and 49?

• 1

• 2

• 7

• 12