Operations of Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Tags

CCSS.HSA.APR.A.1

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Tags

CCSS.HSA.APR.A.1

Front

Multiply: (x + 7)(x + 9)

Back

x² + 16x + 63

Tags

CCSS.HSA.APR.A.1

Front

What is the perimeter of a rectangle with length x and width 8?

Back

The perimeter is given by the formula P = 2(length + width) = 2(x + 8) = 2x + 16.

Tags

CCSS.8.EE.C.7B

Front

Combine: (10m - 7n) + (2m - n)

Back

12m - 8n

Tags

CCSS.7.EE.A.1

Front

Simplify: (2n² - 8n⁴) + (4n² - 5n⁴)

Back

-13n⁴ + 6n²

Tags

CCSS.HSA.APR.A.1