Podcast
Questions and Answers
What is the difference of the polynomials $(-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)$?
What is the difference of the polynomials $(-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)$?
-6x^4y - 2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5
Which expression represents the total perimeter of her sandwich, and if $x = 1.2$, what is the approximate length of the crust?
Which expression represents the total perimeter of her sandwich, and if $x = 1.2$, what is the approximate length of the crust?
8x^2 + 34; 45.52 centimeters
What is the sum of the polynomials $(7x^3 - 4x^2) + (2x^3 - 4x^2)$?
What is the sum of the polynomials $(7x^3 - 4x^2) + (2x^3 - 4x^2)$?
9x^3
If the sum of two polynomials is $8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9$ and one addend is $2d^5 - c^3d^2 + 8cd^4 + 1$, what is the other addend?
If the sum of two polynomials is $8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9$ and one addend is $2d^5 - c^3d^2 + 8cd^4 + 1$, what is the other addend?
What is the profit if the revenue is modeled by $3x^2 + 180x$ and the cost by $3x^2 - 160x + 300$, with $x$ representing the number of televisions sold? If 150 televisions are sold, what is the profit?
What is the profit if the revenue is modeled by $3x^2 + 180x$ and the cost by $3x^2 - 160x + 300$, with $x$ representing the number of televisions sold? If 150 televisions are sold, what is the profit?
What expression represents the profit if the revenue for toy cars is modeled by $3x^2 + 4x - 60$ and the cost by $3x^2 - x + 200$?
What expression represents the profit if the revenue for toy cars is modeled by $3x^2 + 4x - 60$ and the cost by $3x^2 - x + 200$?
What is the additive inverse of the polynomial $-9xy^2 + 6x^2y - 5x^3$?
What is the additive inverse of the polynomial $-9xy^2 + 6x^2y - 5x^3$?
The sum of the two polynomials $6s^2t - 2st^2$ and $4s^2t - 3st^2$ is a binomial with a degree of 3.
The sum of the two polynomials $6s^2t - 2st^2$ and $4s^2t - 3st^2$ is a binomial with a degree of 3.
What is the sum of the polynomials $(-x^2 + 9) + (-3x^2 - 11x + 4)$?
What is the sum of the polynomials $(-x^2 + 9) + (-3x^2 - 11x + 4)$?
What is true about the degree of the sum and difference of the polynomials $3x^5y - 2x^3y^4 - 7xy^3$ and $-8x^5y + 2x^3y^4 + xy^3$?
What is true about the degree of the sum and difference of the polynomials $3x^5y - 2x^3y^4 - 7xy^3$ and $-8x^5y + 2x^3y^4 + xy^3$?
Flashcards are hidden until you start studying
Study Notes
Adding and Subtracting Polynomials
-
The difference of the polynomials (-2x³y² + 4x²y³ - 3xy⁴) and (6x⁴y - 5x²y³ - y⁵) is -6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.
-
The expression for the total perimeter of a sandwich, represented as 8x² + 34, gives a crust length of approximately 45.52 centimeters when x = 1.2.
-
The sum of (7x³ - 4x²) and (2x³ - 4x²) results in 9x³.
-
Given the sum 8d⁵ - 3c³d² + 5c²d³ - 4cd⁴ + 9, if one addend is 2d⁵ - c³d² + 8cd⁴ + 1, the other addend is 6d⁵ - 2c³d² - 3c²d³ - 4cd⁴ + 8.
Profit Calculation using Polynomials
-
Revenue for a television manufacturing company is modeled by 3x² + 180x and cost by 3x² - 160x + 300, resulting in a profit of $50,700 when 150 televisions are sold.
-
For a toy car manufacturing company, revenue is represented by 3x² + 4x - 60, and cost by 3x² - x + 200; therefore, the profit expression is 5x - 260.
Additive Inverses and Polynomial Properties
-
The additive inverse of the polynomial -9xy² + 6x²y - 5x³ is 9xy² - 6x²y + 5x³.
-
The sum of the polynomials 6s²t - 2st² and 4s²t - 3st² results in a binomial with a degree of 3.
Summing and Differencing Polynomials
-
The sum of the polynomials (-x² + 9) and (-3x² - 11x + 4) simplifies to -4x² - 11x + 13.
-
The degree of the sum of the polynomials 3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³ is 6, while the degree of their difference is 7.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
