Factoring GCF and Trinomials Review

What is the first step in factoring out a GCF from an expression?

• Identify the highest exponent of the variable.

• Identify the greatest common factor between the coefficients and constants.

• Rewrite the expression in standard form.

• Divide each term by the smallest coefficient.

If you have the expression 9x^2 - 27x + 63, what is the GCF you can factor out?

• 63

• 3

• 27

• 9

When factoring out a GCF from variables, what should you look for?

• The constant term in the expression.

• The coefficient of the variable.

• The highest exponent of the variable that each term shares.

• The smallest exponent of the variable in each term.

What is the GCF of the expression 9m^3 - 11m^2 + 5m?

• m^2

• 1

• m^3

• m

In the expression 5x^4 - 15x^3 + 10x^2, what is the GCF you can factor out?

• 10x^2

• 15x^3

• 5x^3

• 5x^2

What is the result of factoring out the GCF from 5x^4 - 15x^3 + 10x^2?

• x^2(5x^2 - 15x + 10)

• 5x^2(x^2 - 3x + 2)

• 5x^3(x - 3 + 2)

• 5x^2(x^2 - 3x + 2)

What is the first step in the X method for factoring trinomials where a = 1?

• Rewrite the trinomial in standard form.

• Divide each term by a.

• Find the sum of a and b.

• Find the product of a and c.

Using the X method, what two numbers multiply to 14 and add up to 9?

• 2 and 7

• 3 and 6

• 4 and 5

• 1 and 14

For the trinomial x^2 - 4x - 5, what two numbers multiply to -5 and add up to -4?

• 2 and -3

• 3 and -2

• 5 and -1

• 1 and -5

What are the factors of the trinomial x^2 - 4x - 5?

• (x - 2)(x + 3)

• (x + 2)(x - 3)

• (x - 1)(x + 5)

• (x + 1)(x - 5)