question

What is the GCF of h4 and h8?
h2
h4
h8
h12

answer

B.) h4

question

Find the GCF of 44j5k4 and 121j2k6.
Find the GCF of 44 and 121.
Find the GCF of j5 and j2.
Find the GCF of k4 and k6.
What is the GCF of 44j5k4 and 121j2k6?
4j3k2
4j2k4
11j3k2
11j2k4

answer

D.) 11j2k4

question

Which of the following terms have a GCF of 6p3?
Select two options.

answer

1
4

question

What is the factored form of the polynomial 27x2y - 43xy2?
xy(27x - 43y)
x2y2(27 - 43)
3xy(9x - 17y)
3x2y(9 - 14y)

answer

A.) xy(27x - 43y)

question

Which statements are true about the polynomial 28vw + 49v + 35w? Check all that apply.
The coefficients have no common factors other than 1.
There are no common variables among all three terms.
The GCF of the polynomial is 7v.
Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

answer

2
5

question

4x2 is the GCF of this polynomial.
20x2y + 56x3 - ?
Which could be the mystery term?
22x3
24x2y
26x2y
28y3

answer

B.) 24x2y

question

Factor 26r3s + 52r5 - 39r2s4. What is the resulting expression?
13(2r3s + 4r5 - 3r2s4)
13r2s(2r + 4r3 - 3s3)
13r2(2rs + 4r3 - 3s4)
13r2(26r3s + 52r5 - 39r2s4)

answer

C.) 13r2(2rs + 4r3 - 3s4)

question

David found and factored out the GCF of the polynomial 80b4 - 32b2c3 + 48b4c.
His work is below.
GFC of 80, 32, and 48: 16
GCF of b4, b2, and b4: b2
GCF of c3 and c: c
GCF of the polynomial: 16b2c
Rewrite as a product of the GCF:16b2c(5b2) - 16b2c(2c2) + 16b2c(3b2)
Factor out GCF: 16b2c(5b2 - 2c2 + 3b2)
Which statements are true about David's work? Check all that apply.
The GCF of the coefficients is correct.
The GCF of the variable b should be b4 instead of b2.
The variable c is not common to all terms, so a power of c should not have been factored out.
The expression in step 5 is equivalent to the given polynomial.
In step 6, David applied the distributive property.

answer

1
3
5

question

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 - 65x3 inches. What is the length of one side of the sandbox?
5y - 9 inches
5y4 - 9x3 inches
7y - 13 inches
7y4 - 13x3 inches

answer

D.) 7y4 - 13x3 inches

question

Isiah determined that 5a2 is the GCF of the polynomial a3 - 25a2b5 - 35b4. Is he correct? Explain.

answer

No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4.