Answers FL-1200710-Mathematics for College Algebra APolynomial Division

Polynomial Division — Unit test Answers

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The model represents the factorization of 2x2+5x+3.

(2x+3)(x+1)

(2x−3)(x−1)

(3x+2)(x+1)

(3x−2)(x−1)

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Which diagram represents the factors of m2 – 10m + 16 ?

A 2-column table with 2 rows. First column is labeled m with entries m squared, 4 m. Second column is labeled negative 6 with entries negative 6 m, 16. First row is labeled m with entries m squared, negative 6 m. Second row is labeled 4 with entries 4 m, 16.

A 2-column table with 2 rows. First column is labeled m with entries m squared, 2 m. Second column is labeled negative 8 with entries negative 8 m, 16. First row is labeled m with entries m squared, negative 8 m. Second row is labeled 2 with entries 2 m, 16.

A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 6 m. Second column is labeled negative 4 with entries negative 4 m, 16. First row is labeled m with entries m squared, negative 4 m. Second row is labeled negative 6 with entries negative 6 m, 16.

A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.

The model represents a perfect square monomial.What equation is represented by the model?

(2x)2 = 4x2

(2x2)2 = 4x4

(4x)2 = 8x2

(4x2)2 = 8x8

What is the greatest common factor of 4xy2 and 20x2y4?

4xy

4xy2

24xy

24xy2

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

(2x + 2) and (5x – 7)

(5x – 2) and (2x + 7)

(x – 2) and (10x + 7)

(10x + 2) and (x – 7)

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

x20

x100

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.Step 1: (6x3 – 22x2) – (9x + 33)Step 2: 2x2(3x – 11) – 3(3x + 11)

Marisol should realize that her work shows that the polynomial is prime.

Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).

Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).

Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).

Which is a factor of 144 − 49x2?

12 - 7x2

72 – 7x2

12 – 7x

72 + 7x

Which is the completely factored form of 18x4 – 42x3 + 24x2?

3x(3x – 4)(2x – 2)

3x2(3x – 4)(2x – 2)

6x(3x – 4)(x – 1)

6x2(3x – 4)(x – 1)

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

length = (x − 8) units and width = (x − 9) units

length = (x + 9) units and width = (x + 8) units

length = (x − 6) units and width = (x − 12) units

length = (x + 12) units and width = (x + 6) units

What is the factorization of 81a6 - 100?

(9a2 − 10)(9a3 + 10)

(9a2 − 10)(9a3 − 10)

(9a3 − 10)(9a3 + 10)

(9a3 − 10)(9a3 − 10)

Which expression is equivalent to 64 − 9x2?

(32)2 − (3x)2

(32)2 + (−3x)2

(8)2 − (3x)2

(8)2 + (−3x)2

What is the factored form of the polynomial?z2 − 10z + 25

(z − 5)(z − 5)

(z + 5)(z + 5)

(z − 2)(z + 5)

(z + 2)(z − 5)

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

2x−3

2x+3

3x−2

3x+2

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

4m(75m2 + 30m +40)

10m(30m2 + 12m +18)

30(10m2 +4m + 60)

60(5m2 +2m +3)

What is the factored form of the polynomial?x2 − 15x + 36

(x − 4)(x − 9)

(x − 3)(x − 12)

(x + 4)(x + 9)

(x + 3)(x + 12)

A polynomial is factored using algebra tiles.

(x − 1) and (x + 3)

(x + 1) and (x − 3)

(x − 2) and (x + 3)

(x + 2) and (x − 3)

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

16m3n3

16m3n4

18m3n3

18m3n4

Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?

Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.

Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.

Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

x2 and −2x

2x2 and −2x

x2 and −2

2x2 and −2

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Polynomial Division — Unit test Answers

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