Which shows one way to determine the factors of x^3 - 12x^2 - 2x + 24 by grouping?
answer
x^2(x - 12) - 2(x - 12)
question
Deirdre is factoring the polynomial x^2 + 2x - 24. Which combination can she use to replace the middle term, 2x?
answer
6x and -4x
question
Which term is the perfect square of 3x^4?
answer
9x^8
question
Which model shows the correct factorization of x^2 + 2x - 8?
answer
D
question
What is the factored form of the polynomial?
x^2 + 9x +20
answer
(x + 4)(x + 5)
question
Which shows one way to determine the factors of x^3 + 5x^2 - 6x - 30 by grouping?
answer
x^2(x + 5) - 6(x + 5)
question
Which polynomial can be simplified to a difference of squares?
answer
16a^2 - 4a + 4a - 1
question
What is the factored form of x^2 - x - 2?
answer
(x - 2)(x + 1)
question
The diagram represents 6x^2 - 7x + 2 with a factor of 2x - 1.
What is the other factor of 6x^2 - 7x + 2?
answer
3x - 2
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
question
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?
answer
2x^2 + 7
question
What is the greatest common factor of 4k, 18k^4, and 12?
answer
4
question
Which terms could have a greatest common factor of 5m^2n^2? Check all that apply.
answer
5m^4n^3
15m^2n^2
question
Factor -8x^3 - 2x^2 - 12x - 3 by grouping. What is the resulting expression?
answer
(-2x^2 - 3)(4x + 1)
question
What number fills in the blank to complete the factorization of 3x + 24?
(x + 8)
answer
3
question
What is the square root of m^6?
answer
m^3
question
`A polynomial is factored using algebra tiles.
Which polynomial was factored?
answer
x^2 + 2x - 4
question
What is the square root of 64y^16?
answer
8y^8
question
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?
answer
The side length was multiplied by 5.
question
The model represents x^2 - 9x + 14.
Which is a factor of x^2 - 9x + 14?
answer
x - 2
question
Simon is factoring the polynomial.
x^2 - 4x - 12
(x - 6)(x + ___)
What value should Simon write on the line?
answer
2
question
The binomial (a + 5) is a factor of a^2 + 7a + 10. What is the other factor?
a^2 + 7a + 10 = (a + 5)(a + __)
answer
2
question
Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression?
answer
(x^2 + 7)(x - 4)
question
The trinomial x^2 - 3x - 4 is represented by the model.
What are the factors of the trinomial?
answer
(x + 1) and (x - 4)
question
Which binomial is a factor of 9x^2 - 64?
answer
3x - 8
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