Factorising polynomials

What is the GCF of 3x and 99x

• 3x

• x

• 99

• 67x

Find the error and correct it. There should be two selected answers for this problem.

• Error: the student forgot to bring down the GCF with the factored problem.

• Error: the GCF should have been 2x not just 2.

To factor a polynomial means to describe the algebraic expression as the __________ of two or more expressions.

• sum

• difference

• product

• quotient

Find the greatest common factor of the monomials:

100xy and 75xyz

Factor by GCF

63x⁴ - 7x² + 28x

• 7x(9x² - 7 + 4x)

• x(63x³ - 7x + 28)

• 7x(9x³ - 1x + 4)

Find the greatest common factor of the terms.

12t and 18

• 6t

• 36t

• 6

• 12

Find LCM of 6ab and 9abp

• 18ab
• 18abp
• 6ab
• 6abp

Factor the polynomial 6x²y - 18xy²

• 6(x - 3y)

• 6xy(x - 3y)

• 6xy²(x - 3)

• 6x²y(3y - 1)

How do you find the greatest common factor in a set of numbers?