Multiplying and Dividing 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 does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Front

What is the distributive property?

Back

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

Front

How do you divide polynomials?

Back

To divide polynomials, you can use long division or synthetic division, depending on the degree of the polynomials.

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 quotient of 25x^5 and 5x^3?

Back

5x^2

Front

Simplify: 2(4x + 5)

Back

8x + 10

Front

What is the result of (-20x^7y^5) ÷ (-4x^3y^2)?

Back

5x^4y^3

Front

Divide (6x^2 + 12x) by 3x. What is the result?

Back

2x + 4

Front

Expand 3a(5a^2 + 8a + 2) using the distributive property.

Back

15a^3 + 24a^2 + 6a