Answers NHS Algebra I Integrated Math II Semester 2 CRFactoring Polynomials: Difference of Squares

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Which is a factor of x2 + 5x − 24?

(x − 6)

(x + 6)

(x − 8)

(x + 8)

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

4xy

4xy2

24xy

24xy2

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 equivalent to , and what type of special product is it?

; a perfect square trinomial

; the difference of squares

; a perfect square trinomial

; the difference of squares

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

4y2 + 34

3y2 + y + 34

4y2 + 14y + 34

4y4 + 34

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.

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

x2 + 4x – 15; 3 feet

x2 + 4x – 15; 6 feet

2x2 + 8x – 30; 6 feet

2x2 + 8x – 30; 12 feet

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

5r3 − 34r2 + 44r − 16

5r3 − 4r2 + 14r − 16

5r3 − 6r − 16

5r3 + 10r − 16

What is the product?

2 x squared minus 3

2 x squared + 6 x

2 x squared + 5 x minus 3

2 x squared + 6 x minus 3

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

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.