Answers PBCSD_Grade_Forgiveness_1200710_Mathematics_for_College_Algebra_S1_2023Division of Polynomials

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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

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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

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 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

If (x + k) is a factor of f(x), which of the following must be true?

f(k) = 0

f(–k) = 0

A root of f(x) is x = k.

A y intercept of f(x) is x = –k.

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 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

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

7y2 + 4xy – 3

7y2 + 8xy – 3

7y2 + 4xy + 3

7y2 + 8xy + 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.

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

Consider the division of 3b2+9b+4 by 3b.

Option

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

2 x Superscript 4 Baseline minus 3 x cubed minus eleven-halves

2x2 + x – 3 –

2x2 – x

2x2 + x – 3

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.

If (x – 5) is a factor of f(x), which of the following must be true?

A root of f(x) is x = –5.

A root of f(x) is x = 5.

Both x = –5 and x = 5 are roots of f(x).

Neither x = –5 nor x = 5 is a root of f(x).

The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

1.45 million

3.45 million

40 million

48 million

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