Adding and Subtracting Polynomials

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 inches

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

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

Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown. Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of

8x2 + 34; 45.52 centimeters

What is the sum of the polynomials? (7x3 - 4x2) + (2x3 - 4x2)

9x3 - 8x2

What is the additive inverse of the polynomial -9xy2 + 6x2y - 5x3?

9xy2 - 6x2y + 5x3

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.

What is true about the sum of the two polynomials? 6s2t - 2st2 4s2t - 3st2

The sum is a binomial with a degree of 3.

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?

5x - 260

What is the difference of the polynomials? (8r6s3 - 9r5s4 + 3r4s5) - (2r4s5 - 5r3s6 - 4r5s4)

8r6s3 - 5r5s4 + r4s5 + 5r3s6