Lesson 4.4: Factoring Polynomials Completely Answers
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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)2
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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.3
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)
4
Which statement about 6x2 + 7x – 10 is true?
A
One of the factors is (x + 2).B
One of the factors is (3x – 2).C
One of the factors is (2x + 5).D
One of the factors is (x – 5).5
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 cubes6
What is the factored form of 2x3 + 4x2 – x?
A
2 x (x squared + 2 x + 1)
B
x (2 x squared + 4 x + 1)
C
2 x (x squared + 2 x minus 1)
D
x (2 x squared + 4 x minus 1)
7
Which value of a would make the following expression completely factored?x2 – a
A
12B
36C
49D
818
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
If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered?
A
perfect-square trinomialB
difference of squaresC
factor by groupingD
sum of cubes10
What is the completely factored form of x3 – 64x?
A
x(x – 8)(x – 8)B
(x minus 4) (x squared + 4 x + 16)
C
x(x – 8)(x + 8)D
(x – 4)(x + 4)(x + 4)Did you find these answers helpful?
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