Adding and Subtracting Polynomials

Terms in this set (14)

What is the additive inverse of the polynomial -9xy2 + 6x2y - 5x3?
9xy2 - 6x2y + 5x3
Which is true about the degree of the sum and difference of the polynomials 3x5y - 2x3y4 - 7xy3 and -8x5y + 2x3y4 + xy3?
The sum has a degree of 6, but the difference has a degree of 7.
Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?
The difference is a binomial with a degree of 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.What expression represents the profit, and what is the profit if 240 cell phones are sold?
70x + 50; $16, 850
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 + 1 inches, and its perimeter is 4(2x2 + 1) inches. If x = 3.5, how much ribbon does she need?
102 in
What is true about the sum of the two polynomials?

6s2t - 2st2

4s2t - 3st2
The sum is a binomial with a degree of 3.
What is the difference of the polynomials?

(8r6s3 - 9r5s4 + 3r4s5) - (2r4s5 - 5r3s6 - 4r5s4)
NOT 6r6s3 - 13r5s4 - r4s5
Pablo folds a straw into a triangle with side lengths of 4x2 - 3 inches, 4x2 - 2 inches, and 4x2 - 1 inches. The perimeter of the triangle is 12x2 - 6 inches. If x = 1.5, what was the length of the straw before it was folded?
NOT 318
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?
NOT $51,300
NOT $6,000
The sum of two polynomials is 8d5 - 3c3d2 + 5c2d3 - 4cd4 + 9. If one addend is 2d5 - c3d2 + 8cd4 + 1, what is the other addend?
6d5 - 2c3d2 + 5c2d3 - 12cd4 + 8
What is the difference of the polynomials?

(-2x3y2 + 4x2y3 - 3xy4) - (6x4y - 5x2y3 - y5)
NOT -6x4y + 3x3y2 + 4x2y3 - 3xy4 + y5
What is the sum of the polynomials?

(-x2 + 9) + (-3x2 - 11x + 4)
-4x2 - 11x + 13
The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x - 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 - 3x - 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x - 50.

If 75 pairs of jeans are sold, what is the company's profit?
$1,450
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?
40 feet
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