AnswersCA-Common Core Math II AOperations on Rational and Irrational Numbers

Adding and Subtracting Polynomials Answers

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

A
7x2 + 5x
B
7x2 + 11x
C
11x2 + 5x
D
11x2 + 11x
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 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
4

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
5

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

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