Divide Polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial or a monomial, resulting in a quotient and possibly a remainder.

Tags

CCSS.HSA.APR.D.6

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and simplify.

Tags

CCSS.HSA.APR.D.6

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Tags

CCSS.7.EE.A.1

Front

What is the degree of a polynomial?

Back

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

Front

What is the result of dividing 3x^6 by x^3?

Back

The result is 3x^(6-3) = 3x^3.

Front

What is the distributive property in relation to polynomials?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a term by each term inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

How do you apply the distributive property to the expression 5x^2(2x - 3)?

Back

Using the distributive property, you multiply 5x^2 by each term in the parentheses: 5x^2 * 2x = 10x^3 and 5x^2 * -3 = -15x^2, resulting in 10x^3 - 15x^2.

Tags

CCSS.6.EE.A.3

Front

What is the process of simplifying a polynomial?

Back

Simplifying a polynomial involves combining like terms and reducing the expression to its simplest form.

Tags

CCSS.7.EE.A.1