Factoring Polynomials with Greatest Common Factor

The GCF of a polynomial is the smallest expression that can divide all the given terms?

• True
• False

Factoring polynomial with a common monomial factor involves dividing ech term by the greatest common factor.

• True
• False

Which of the following best defines a common monomial factor?

• A variable that appears only once in a polynomial

• The sum of all polynomials terms

• A binomial in standard form

• The largest monomial that divides all terms of the polynomials

• 8(x + 1.5)
• 4(2x + 3)
• 2(4x + 6)
• 4(2x - 3)

Which of the following polynomials is prime?

• Yes, because it has common factor.

• No, because each term is relatively prime.

• 2xy(9x - 6y)

• 6xy(3x - 2y)

• 9xy(2x - 3y)

• 6xy(3x + 2y)