8-6 Multiplying a Polynomial by a Monomial B

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

How do you multiply a polynomial by a monomial?

Back

To multiply a polynomial by a monomial, distribute the monomial to each term of the polynomial, multiplying the coefficients and adding the exponents of like bases.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any necessary arithmetic operations.

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

What is the solution to an equation?

Back

The solution to an equation is the value of the variable that makes the equation true.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined through addition or subtraction.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable and exponent.

Front

What is the significance of the coefficient in a polynomial?

Back

The coefficient is the numerical factor in a term of a polynomial, indicating how many times the variable is multiplied.