Adding and Subtracting Polynomials Answers

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

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

Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?

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

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

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.

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. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

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.

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?

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?