Factoring GCF to Create Algebraic Expressions

Factor
14x + 20

• 2(7x + 10)

• 4(2x + 5)

What must ALWAYS be done before factoring polynomials?

• Find the values of a, b and c

• Look for the value of the variables

• Look for the Greatest Common Factor (GCF)

• Factor the difference of two squares

In the process of factoring by grouping, what is the next step after creating two groups of terms?

• Factor each group separately.

• Combine like terms within each group.

• Rearrange the terms to create a single expression.

• None of the above.

When simplifying a rational expression, what do you look for to factor out common terms in the numerator and denominator?

• Least common multiples

• Common factors

• The largest coefficient

• Square roots

What is the GCF of 18k and 15k³?

• 3k²

• 3k³

• 3k

• 5k

Which expression is equivalent to 5x²+20x?

• 5

• x

• 5x

• 20x

What is the GCF of 26xy and 10x²y²?

• 2xy

• 2x²y²

• 10x²y²

• 10xy