Factor by Grouping Quiz

What is the primary purpose of factor by grouping?

• To find the derivative of a function

• To simplify fractions

• To factor quadratics and polynomials with four terms

• To solve linear equations

In the quadratic example, what is the product of a and c?

• 9

• 10

• 20

• 18

Which two numbers multiply to 20 and add to 9 in the quadratic example?

• 3 and 6

• 2 and 7

• 4 and 5

• 1 and 8

What is the GCF of the first half of the quadratic equation after rewriting?

• x

• 2x

• 5

• x + 2

What is the final factored form of the quadratic equation 2x^2 + 9x + 10?

• (2x + 5)(x + 2)

• (2x + 4)(x + 5)

• (x + 2)(x + 5)

• (x + 4)(x + 5)

In the polynomial example, what is the GCF of the first section?

• x

• 4

• x^2

• 2x

What is the common factor found in both sections of the polynomial example?

• 2x + 4

• x^2 + 4

• x + 1

• 2x + 1

What is the final factored form of the polynomial 2x^3 + x^2 + 8x + 4?

• (x + 4)(2x + 1)

• (x^2 + 4)(x + 1)

• (x^2 + 1)(2x + 4)

• (x^2 + 4)(2x + 1)

What method can be used to verify the factored form of an expression?

• FOIL or distribution

• Substitution

• Integration

• Graphing

Where can you find more practice questions related to factor by grouping?

• algebratutorials.net

• mathpractice.com

• polynomialhelp.org

• mathsucks.org