What is the Difference of the Polynomials

What is true about the completely simplified sum of the polynomials 3 x2y2 − 2xy5 and −3x2y2 + 3x4y? The sum is a trinomial with a degree of 5. The sum is a trinomial with a degree of 6. The sum is a binomial with a degree of 5. The sum is a binomial with a degree of 6. Which is true about the degree of the sum and difference of the polynomials 3 x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3? Both the sum and difference have a degree of 6. Both the sum and difference have a degree of 7. The sum has a degree of 6, but the difference has a degree of 7. The sum has a degree of 7, but the difference has a degree of 6. What is the difference of the polynomials? (–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5) –6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5 –6x4y – 2x3y2 – x2y3 – 3xy4 – y5 –6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5 –6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5 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? 2x2+4x−6; 22.0 inches 2x2+4x−6; 32.5 inches 4(2x2+4x−6;) 88.0 inches 4(2x2+4x−6;) 130.0 inches Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3 x2 + 180x. The cost, in dollars, of producing 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? $2,700 $6,000 $50,700 $51,300 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 the crust? 8x2 + 34; 43.6 centimeters 8x2 + 34; 45.52 centimeters 4x2 + 17; 21.8 centimeters 4x2 + 17; 22.76 centimeters 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 (2 x2 – 15) feet. What is the perimeter of the triangle if x = 4? 16 feet 40 feet 76 feet 80 feet What is true about the sum of the two polynomials? 6s2t – 2st2 4s2t – 3st2 The sum is a binomial with a degree of 2. The sum is a binomial with a degree of 3. The sum is a trinomial with a degree of 2. The sum is a trinomial with a degree of 3. What is the additive inverse of the polynomial –9xy 2 + 6x2y – 5x3? –9xy2 – 6x2y + 5x3 –9xy2 – 6x2y – 5x3 9xy2 + 6x2y + 5x3 9xy2 – 6x2y + 5x3 What is the sum of the polynomials? (–x2 + 9) + (–3x2 – 11x + 4) –4x2 – 2x + 4 –4x2 – 11x + 13 2x2 + 20x + 4 2x2 + 11x + 5 What is the difference of the two polynomials? (9x2 + 8x) – (2x2 + 3x) 7x2 + 5x 7x2 + 11x 11x2 + 5x 11x2 + 11x 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 2 x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2 x2 – 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? 40x – 30; $2,400 40x – 30; $9,570 70x + 50; $16, 850 70x + 50; $28,800 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? 2x2+4x−6; 22.0 inches 2x2+4x−6; 32.5 inches 4(2x2+4x−6;) 88.0 inches 4(2x2+4x−6;) 130.0 inches Which is true about the degree of the sum and difference of the polynomials 3 x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3? Both the sum and difference have a degree of 6. Both the sum and difference have a degree of 7. The sum has a degree of 6, but the difference has a degree of 7. The sum has a degree of 7, but the difference has a degree of 6. 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 5. The difference is a binomial with a degree of 6. The difference is a trinomial with a degree of 5. The difference is a trinomial with a degree of 6.