Addition and Subtraction of Polynomials Answers
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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 cubes2
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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)
3
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)4
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)
5
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)6
What is the factored form of n2 – 25?
A
(n – 25)(n – 1)B
(n – 5)(n + 5)C
(n + 5)(n + 5)D
(n – 25)(n + 1)7
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.8
Which polynomial is factored completely?
A
g Superscript 5 Baseline minus g
B
4 g cubed + 18 g squared + 20 g
C
24 g squared minus 6 g Superscript 4
D
2 g squared + 5 g + 4
9
What is the factored form of 6n4 – 24n3 + 18n?
A
6 n (n Superscript 4 Baseline + 4 n cubed + 3n)
B
6 n (n Superscript 4 Baseline minus 4 n cubed + 3 n)
C
6 n (n cubed minus 4 n squared + 3)
D
6 n (n cubed + 4 n squared + 3)
10
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).Did you find these answers helpful?
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