Which statement is true about the factorization of 30x^2 + 40xy + 51y^2?
answer
D) The polynomial is a prime, and the greatest common factor of the terms is 1.
question
What is the greatest common factor of 24s^3, 12s^4, and 18s?
answer
D) 6s
question
What is the fully factored form of 32a^3 + 12a^2?
answer
A) 4a^2(8a + 3)
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Which expression is equivalent to 10x^2y + 25x^2?
answer
A) 5x^2(2y + 5)
question
What is the greatest common factor of 4k, 18k^4, and 12?
answer
A) 2
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A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
answer
C) 3x + 13
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What is the completely factored form of the expression 16x^2 + 8x + 32?
answer
C) 8(2x^2 + x + 4)
question
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y^4 ? 16y^3 + 48y^2 cubic units. Which could be the base area and height of the prism?
answer
D) A base area of 16y^2 square units and height of y^2 + y + 3 units
question
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?
answer
5h + 8 dollars
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Which shows one way to determine the factors of 12x^3 - 2x^2 + 18x - 3 by grouping?
answer
A) 2x^2(6x - 1) + 3(6x - 1)
question
The polynomial 2x^3 - 5x^2 + 4x - 10 is split into two groups, 2x^3 + 4x and -5x^2 - 10. The GCF's of each group is then factored out
What is the common binomial factor between the two groups after their GCF's have been factored out?
answer
D) x^2 + 2
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Which shows one way to determine the factors of x^3 + 4x^2 + 5x + 20 by grouping?
answer
B) x^2(x + 4) + 5(x + 4)
question
Which polynomial is prime?
answer
9x^3 + 11x^2 + 3x - 33
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Which shows one way to determine the factors of 4x^3 + x^2 - 8x -2 by grouping?
answer
A) x^2(4x + 1) - 2(4x + 1)
question
Which shows one way to determine the factors of x^3 - 12x^2 - 2x + 24 by grouping?
answer
D) x^2(x - 12) - 2(x - 12)
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Factor x^3 - 7x^2 - 5x + 35 by grouping. What is the resulting expression?
answer
C) (x^2 - 5)(x - 7)
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Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression?
answer
D) (x^2 + 7)(x + 4)
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Factor -8x^3 - 2x^2 - 12x - 3 by grouping. What is the resulting expression?
answer
D) (-2x^2 - 3)(4x + 1)
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Which shows one way to determine the factors of x^3 + 11x^2 - 3x - 33 by grouping?
answer
D) x^2(x + 11) - 3(x + 11)
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What is the square root of 16x^36?
answer
B) 4x^18
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The area of a square can be represented by the expression x^10. The side of the square can be written in the form x^n.
What is the value of n?
answer
5
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Which term is the perfect square of 3x^4?
answer
C) 9x^8
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What is the square root of 64y^16?
answer
D) 8y^8
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What is the factorization of 121b^4 - 49?
answer
D) (11b^2 + 7)(11b^2 - 7)
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What is the square root of r^64
answer
D) r^32
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What is a difference of squares that has a factor of x + 8?
Complete the expression.
x^2 - ____
answer
x^2 - 64
question
Which expression is equivalent to 100 n^2 - 1?
answer
A) (10n)^2 - (1)^2
question
Which expression is equivalent to 36x^2 - 25?
answer
D) (6x)^2 - (5)^2
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Which monomials are perfect squares? Check all that apply.
6x^2
9x^8
16x^9
25x^12
36x^16
answer
A B C D E, all of them
question
Logan saves the same amount of money each month for college. His current total savings is 300m^2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?
4m(75m^2 + 30m + 40)
10m(30m^2 + 12m + 18)
30(10m^2 + 4m + 60)
60(5m^2 + 2m + 3)
answer
D) 60(5m^2 + 2m + 3)
question
Which monomial is a perfect cube?
1x^10
8x^8
9x^9
27x^15
answer
D) 27x^15
question
Which expression is equivalent to ^3/27x^18?
3x^3
3x^6
9x^3
9x^6
answer
B) 3x^6
question
Which expression is equivalent to 64y^18 - 1000z^6?
(4y^6)^3 - (10z^2)^3
(16y^6)^3 - (10z^2)^3
(16y^6)^3 - (100z^2)^3
(4y^6)^3 - (100z^2)^3
answer
A) (4y^6)^3 - (10z^2)^3
question
Which is a factor of 144 - 49x^2?
12 - 7x^2
72 - 7x^2
12 - 7x
72 + 7x
answer
C) 12 - 7x
question
Which is true about the completely simplified difference of the polynomials 6x^6 - x^3 y^4 - 5xy^5 and 4x^5 y + 2x^3 y^4 + 5xy^5?
The difference has 3 terms and a degree of 6.
The difference has 4 terms and a degree of 6.
The difference has 3 terms and a degree of 7.
The difference has 4 terms and a degree of 7.
answer
D) The difference has 4 terms and a degree of 7.
question
What is a factorization of 81a^6 - 100?
(9a^2 - 10)(9a^3 + 10)
(9a^2 - 10)(9a^3 - 10)
(9a^3 - 10)
(9a^3 - 10)(9a^3 - 10)
answer
C) (9a^3 - 10)
question
Which statement is true about polynomial 3j^4 k - 2jk^3 + jk^3 - 2j^4 k + jk^3 after it has been fully simplified?
It has 2 terms and a degree of 4
It has 2 terms and a degree of 5
It has 1 terms and a degree of 4
It has 1 terms and a degree of 5
answer
D) It has 1 terms and a degree of 5
question
Which is the true polynomial y^2 - 3y + 12?
It is a binomial with a degree of 2
It is a binomial with a degree of 3
It is a trinomial with a degree of 2
It is a trinomial with a degree of 3
answer
C) It is a trinomial with a degree of 2
question
Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.
162m^3 n^4 + 45n
= 9n(___________ +5)
What is the missing term in the factored expression?
16m^3 n^3
16m^3 n^4
18m^3 n^3
18m^3 n^4
answer
C) 18m^3 n^3
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