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Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

It is a monomial with a degree of 4.

It is a monomial with a degree of 7.

It is a binomial with a degree of 6.

It is a binomial with a degree of 8.

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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).

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

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

Omar should realize that his work shows that the polynomial is prime.

Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).

In Step 2, Omar should factor only out of the first expression.

Omar should factor out a negative from one of the groups so the binomials will be the same.

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

g = –9 and h = 7

g = 9 and h = –3

g = –7 and h = 7

g = 7 and h = 3

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

x20

x100

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

Which polynomial has factors of 4x – 7 and x + 4?

3x2 + x – 3

4x2 + 9x – 28

3x2 – 7x – 3

4x2 – 23x – 28

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?

6x + 11

6x − 11

6x2 + 11

6x2 − 11

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

4xy

4xy2

24xy

24xy2

Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Select three options.–5x2y4 + 9x3y3 + x5y5–4x4y56x4y–xy5–

–4x4y5

6x4y

–xy5

–

Which is a factor of 144 − 49x2?

12 - 7x2

72 – 7x2

12 – 7x

72 + 7x

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.

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

7y2 + 4xy – 3

7y2 + 8xy – 3

7y2 + 4xy + 3

7y2 + 8xy + 3

Which is true about the polynomial y2 – 3y + 12?

It is a binomial with a degree of 2.

It is a binomial with a degree of 3.

It is a trinomial with a degree of 2.

It is a trinomial with a degree of 3.

Armando used algebra tiles to represent the product .

He used the algebra tiles correctly.

He did not represent the two original factors correctly.

The signs on some of the products are incorrect.

Some of the products do not show the correct powers of x.

Which expression is equivalent to 64 − 9x2?

(32)2 − (3x)2

(32)2 + (−3x)2

(8)2 − (3x)2

(8)2 + (−3x)2

The diagram represents the area of a rectangle as 9x2 + 24x + 16 square units.

both: 3x + 4 units

both: 3x + 8 units

width: 3x + 4 units; length: 6x + 12 units

width: 3x + 8 units; length: 6x + 8 units

What is the greatest common factor of 8m, 36m3, and 12?

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

It has 3 terms and a degree of 5.

It has 3 terms and a degree of 7.

It has 4 terms and a degree of 5.

It has 4 terms and a degree of 7.

What is the factorization of 81a6 - 100?

(9a2 − 10)(9a3 + 10)

(9a2 − 10)(9a3 − 10)

(9a3 − 10)(9a3 + 10)

(9a3 − 10)(9a3 − 10)

What is the product?(5r − 4)(r2 − 6r + 4)

5r3 − 34r2 + 44r − 16

5r3 − 4r2 + 14r − 16

5r3 − 6r − 16

5r3 + 10r − 16

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

The difference has 3 terms and a degree of 6.

The difference has 4 terms and a degree of 6.

The difference has 3 terms and a degree of 7.

The difference has 4 terms and a degree of 7.

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)

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

2a2 – 5a – 2

3a3 – 6a2 – 2

–3a3 – 2

–3a2 – 2

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