Adding And Subtracting Polynomials - Quiz

22 August 2022
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question
What is the difference of the polynomials? (-2x3y2 + 4x2y3 - 3xy4) - (6x4y - 5x2y3 - y5)
answer
-6x4y - 2x3y2 + 9x2y3 - 3xy4 + y5
question
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
answer
8x2 + 34; 45.52 centimeters
question
What is the sum of the polynomials? (7x3 - 4x2) + (2x3 - 4x2)
answer
X 9x3
question
The sum of two polynomials is 8d5 - 3c3d2 + 5c2d3 - 4cd4 + 9. If one addend is 2d5 - c3d2 + 8cd4 + 1, what is the other addend?
answer
X 6d5 - 2c3d2 - 3c2d3 - 4cd4 + 8
question
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. If 150 televisions are sold, what is the profit?
answer
$50,700
question
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x - 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 - x + 200. The number of toy cars sold is represented by x. If the profit is the difference between the revenue and the cost, what expression represents the profit?
answer
5x - 260
question
What is the additive inverse of the polynomial -9xy2 + 6x2y - 5x3?
answer
9xy2 - 6x2y + 5x3
question
What is true about the sum of the two polynomials? 6s2t - 2st2 4s2t - 3st2
answer
The sum is a binomial with a degree of 3.
question
What is the sum of the polynomials? (-x2 + 9) + (-3x2 - 11x + 4)
answer
-4x2 - 11x + 13
question
Which is true about the degree of the sum and difference of the polynomials 3x5y - 2x3y4 - 7xy3 and -8x5y + 2x3y4 + xy3?
answer
The sum has a degree of 6, but the difference has a degree of 7.