Factoring Polynomial Expressions Unit Test 88%

What is the square root of m^6?

m^3

Which terms could have a greatest common factor of 5m^2n^2? Check all that apply.

5m^4n^3 15m^2n^2

Deirdre is factoring the polynomial x^2 + 2x - 24. Which combination can she use to replace the middle term, 2x?

6x and -4x

What is the square root of 64y^16?

8y^8

Which term is the perfect square of 3x^4?

9x^8

Which shows one way to determine the factors of x^3 + 5x^2 - 6x - 30 by grouping?

x^2(x + 5) - 6(x + 5)

A square with an area of A^2 is enlarged to a square with an area of 25A^2. How was the side of the smaller square changed?

The side length was multiplied by 5.

Which shows one way to determine the factors of x^3 - 12x^2 - 2x + 24 by grouping?

x^2(x - 12) - 2(x - 12)

Which model shows the correct factorization of x^2 + 2x - 8?

D

The diagram represents 6x^2 - 7x + 2 with a factor of 2x - 1. What is the other factor of 6x^2 - 7x + 2?

3x - 2

Which binomial is a factor of 9x^2 - 64?

3x - 8

What is the greatest common factor of 4k, 18k^4, and 12?

4

Factor -8x^3 - 2x^2 - 12x - 3 by grouping. What is the resulting expression?

(-2x^2 - 3)(4x + 1)

The trinomial x^2 - 3x - 4 is represented by the model. What are the factors of the trinomial?

(x + 1) and (x - 4)

What is the factored form of the polynomial? x^2 + 9x +20

(x + 4)(x + 5)

What is the factored form of x^2 - x - 2?

(x - 2)(x + 1)

The binomial (a + 5) is a factor of a^2 + 7a + 10. What is the other factor? a^2 + 7a + 10 = (a + 5)(a + __)

2

The polynomial 10x^3 + 35x^2 − 4x − 14 is factored by grouping. 10x^3 + 35x^2 − 4x − 14 5x^2(____) − 2(____) What is the common factor that is missing from both sets of parentheses?

2x^2 + 7

Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression?

(x^2 + 7)(x - 4)

Which polynomial can be simplified to a difference of squares?

16a^2 - 4a + 4a - 1

Simon is factoring the polynomial. x^2 - 4x - 12 (x - 6)(x + ___) What value should Simon write on the line?

2

What number fills in the blank to complete the factorization of 3x + 24? (x + 8)

3

Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day?

5h + 8

The model represents x^2 - 9x + 14. Which is a factor of x^2 - 9x + 14?

x - 2

`A polynomial is factored using algebra tiles. Which polynomial was factored?

x^2 + 2x - 4