Factoring Polynomials Completely Answers
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1
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Which value of a would make the following expression completely factored?x2 – a
A
12B
36C
49D
812
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What is the completely factored form of x4 + 8x2 – 9?
A
(x + 1)(x – 1)(x + 3)(x + 3)B
(x + 1) (x minus 1) (x squared + 9)
C
(x2 – 1)(x + 3)(x – 3)D
(x + 1)(x + 1)(x + 3)(x + 3)3
What is the factored form of a2 – 121?
A
(a – 121)(a – 1)B
(a – 11)(a + 11)C
(a + 11)(a + 11)D
(a – 121)(a + 1)5
Which polynomial is factored completely?
A
4 (4 x Superscript 4 Baseline minus 1)
B
2 x (y cubed minus 4 y squared + 5y)
C
3 x (9 x squared + 1)
D
5 x squared minus 17 x + 14
6
What is the completely factored form of x4 + 8x2 – 9?
A
(x + 1)(x – 1)(x + 3)(x + 3)B
(x + 1) (x minus 1) (x squared + 9)C
(x2 – 1)(x + 3)(x – 3)D
(x + 1)(x + 1)(x + 3)(x + 3)7
What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?
A
(x Superscript 4 Baseline + 2 x) (3 x minus 7)
B
x Superscript 4 Baseline (3 x minus 7) (2 x minus 1)
C
x (x cubed + 2) (3 x minus 7)
D
x (3 x Superscript 4 Baseline minus 7 x cubed + 6 x minus 14)
8
What is the completely factored form of xy3 – x3y?
A
xy(y + x)(y – x)B
xy(y – x)(y – x)C
x y (x minus y) (x squared + x y + y squared)
D
x y (x minus y) (y squared + x y + x squared)
9
A student factors 3x2 – 12 to the following. 3(x2 – 4)Which statement about 3(x2 – 4) is true?
A
The expression is equivalent, and it is completely factored.B
The expression is equivalent, but it is not completely factored.C
The expression is not equivalent, but it is completely factored.D
The expression is not equivalent, and it is not completely factored.10
If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered?
A
perfect-square trinomialB
difference of squaresC
sum of cubesD
difference of cubesDid you find these answers helpful?
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