Answers FL-1200710-Mathematics for College Algebra AAdding and Subtracting Polynomials

Adding and Subtracting Polynomials — 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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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 factored form of the polynomial?x2 − 15x + 36

(x − 4)(x − 9)

(x − 3)(x − 12)

(x + 4)(x + 9)

(x + 3)(x + 12)

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

What is the product?

negative 81 t squared minus 16

negative 81 t squared + 16

negative 81 t squared minus 72 t + 16

negative 81 t squared + 72 t + 16

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

5r3 − 34r2 + 44r − 16

5r3 − 4r2 + 14r − 16

5r3 − 6r − 16

5r3 + 10r − 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

Four students are verifying thatx2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table.Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)?

Damien

Lauryn

Rico

Latisha

What is the factorization of 81a6 - 100?

(9a2 − 10)(9a3 + 10)

(9a2 − 10)(9a3 − 10)

(9a3 − 10)(9a3 + 10)

(9a3 − 10)(9a3 − 10)

Rodney models the factorization of a trinomial with algebra tiles as shown.

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)

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

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)

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

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.

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Adding and Subtracting Polynomials — Unit test Answers

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