Adding and Subtracting Polynomials 80%

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.

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.

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

The sum is a binomial with a degree of 3.

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?

$50,700

What is the difference of the polynomials? (-2x3y2 + 4x2y3 - 3xy4) - (6x4y - 5x2y3 - y5)

-6x4y - 2x3y2 + 9x2y3 - 3xy4 + y5

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?

12x2 −6; 21 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

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; 45.52 centimeters