Multiplying and Dividing Polynomials

Front

What is a polynomial?

Back

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

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 is the degree of a polynomial?

Back

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

Front

How do you multiply two monomials?

Back

To multiply two monomials, multiply their coefficients and add their exponents for like variables.

Front

What is the product of (3x^2)(4x^3)?

Back

12x^5

Front

What is the quotient of (10x^4)/(2x^2)?

Back

5x^2

Front

What is the result of multiplying (a^m)(a^n)?

Back

a^(m+n) (Add the exponents of like bases).

Front

What is the result of dividing (b^m)/(b^n)?

Back

b^(m-n) (Subtract the exponents of like bases).

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 in a polynomial.

Front

Simplify: 2x(3x + 4)

Back

6x^2 + 8x