Adding and Subtracting Polynomials Answers

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Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

A
Both the sum and difference have a degree of 6.
B
Both the sum and difference have a degree of 7.
C
The sum has a degree of 6, but the difference has a degree of 7.
D
The sum has a degree of 7, but the difference has a degree of 6.
2
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What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?

A
–9xy2 – 6x2y + 5x3
B
–9xy2 – 6x2y – 5x3
C
9xy2 + 6x2y + 5x3
D
9xy2 – 6x2y + 5x3
3

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 – 160x + 300. The variable x is the number of televisions sold.

A
$2,700
B
$6,000
C
$50,700
D
$51,300
4

What is the difference of the polynomials?(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

A
–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
B
–6x4y – 2x3y2 – x2y3 – 3xy4 – y5
C
–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5
D
–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5
5

What is the sum of the polynomials?(–x2 + 9) + (–3x2 – 11x + 4)

A
–4x2 – 2x + 4
B
–4x2 – 11x + 13
C
2x2 + 20x + 4
D
2x2 + 11x + 5
6

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.

A
40x – 30; $2,400
B
40x – 30; $9,570
C
70x + 50; $16, 850
D
70x + 50; $28,800
7

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?

A
16 feet
B
40 feet
C
76 feet
D
80 feet
8

What is the difference of the two polynomials?(9x2 + 8x) – (2x2 + 3x)

A
7x2 + 5x
B
7x2 + 11x
C
11x2 + 5x
D
11x2 + 11x
9

What is true about the sum of the two polynomials?6s2t – 2st24s2t – 3st2

A
The sum is a binomial with a degree of 2.
B
The sum is a binomial with a degree of 3.
C
The sum is a trinomial with a degree of 2.
D
The sum is a trinomial with a degree of 3.
10

Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?

A
The difference is a binomial with a degree of 5.
B
The difference is a binomial with a degree of 6.
C
The difference is a trinomial with a degree of 5.
D
The difference is a trinomial with a degree of 6.

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