Factoring Polynomials: Grouping Techniques for 3 and 4 Terms

What is the first step in factoring the expression x^2 + 4x + 5x + 20?

• Combine like terms

• Check if factoring by grouping is possible

• Divide by the greatest common factor

• Expand the expression

What is the greatest common factor (GCF) of the first two terms in the expression x^2 + 4x + 5x + 20?

• 20

• 5

• 4

• x

In the expression 2x^3 + 8x^2 - 3x - 12, what is the GCF of the first two terms?

• 2x^2

• 2x

• 4x

• x^2

What is the common factor in the expression 2x^3 + 8x^2 - 3x - 12 after factoring by grouping?

• 2x - 4

• 2x + 4

• x + 4

• x - 4

What is the GCF of the first two terms in the expression 10a^2 - 8ab + 15ab - 12b^2?

• 2a

• 5a

• 3b

• 4a

What is the result of factoring the expression 10a^2 - 8ab + 15ab - 12b^2?

• (5a - 3b)(2a + 4b)

• (5a + 3b)(2a - 4b)

• (5a + 4b)(2a - 3b)

• (5a - 4b)(2a + 3b)

How do you convert the three-term polynomial 2x^2 - 3x - 9 into a four-term polynomial?

• Combine like terms

• Multiply the first and last coefficients

• Add a constant term

• Split the middle term

What are the two numbers that multiply to -18 and add to -3 in the expression 2x^2 - 3x - 9?

• 9 and -2

• 6 and -3

• -9 and 2

• -6 and 3

What is the first step in factoring the expression 21x^2 - 5x - 6?

• Find the GCF

• Multiply the first and last coefficients

• Combine like terms

• Expand the expression

What are the two numbers that multiply to -126 and add to -5 in the expression 21x^2 - 5x - 6?

• -9 and 14

• 9 and -14

• 7 and -18

• -7 and 18