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