Factoring Polynomials Quiz

Which of the following polynomials is a perfect square trinomial (PST)?

• 𝒙² − 𝟏𝟔

• 𝒙² + 𝟒𝒙 + 𝟒

• 𝟐𝒙 (𝒙−𝟏)

• 𝒙² − 𝟓𝒙 + 𝟔

What does CMF stand for in factoring?

• Constant Monomial Form

• Common Multiple Factor

• Common Monomial Factor

• Composite Multiplication Form

Which of the following is a difference of two squares (DOTS)?

• 𝒙² − 𝟔𝒙 + 𝟗

• 𝒙² − 𝟗

• 𝟐𝒙 (𝒙 − 𝟑)

• (𝒙 − 𝟒)²

What factoring technique should be applied in the polynomial 𝟐𝒙² − 𝟒?

• Common Monomial Factor

• Difference of Two Squares

• Perfect Square Trinomial

• Sum and Difference of Two Squares

Which is NOT a factoring technique?

• Common Monomial Factor (CMF)

• Perfect Square Trinomial (PST)

• Difference of two Squares (DOTS)

• FOIL Method

What is the greatest common factor (GCF) of 12 and 24?

• 3

• 4

• 6

• 12

Which of the following is the common monomial factor (CMF) of 𝟏𝟐𝒎 and 𝟏𝟖𝒎⁴?

• 3𝑚

• 6𝑚

• 2𝑚⁴

• 6𝑚⁴

Which expression best fits the common monomial factor (CMF) strategy?

• 𝑦² − 9

• 𝑦² + 16

• 6𝑦² + 14𝑦

• 𝑦² + 6𝑦 + 9

Which of the following is true about 𝒏² + 𝟐𝒏 + 𝟏?

• It’s a DOTS.

• It cannot be factored.

• It has no common factor.

• It’s a PST and factors as (𝑛+1)².

In the expression, 𝟐𝟎𝒙 +𝟏𝟐𝒚 −𝟒𝟎𝒛, one of the factors is 4, what is the other factor?

• 5𝑥 −3𝑦 +10𝑧

• 5𝑥 +3𝑦 − 10𝑧

• 5𝑥−6𝑦 +10𝑧

• 5𝑥 − 5𝑦 −10𝑧