Monomial Times Polynomial

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 a polynomial?

Back

A polynomial is an 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 a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How do you classify polynomials based on their degree?

Back

Polynomials can be classified as linear (degree 1), quadratic (degree 2), cubic (degree 3), quartic (degree 4), quintic (degree 5), etc.

Front

What is the product of a monomial and a polynomial?

Back

The product of a monomial and a polynomial is found by multiplying the monomial by each term of the 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 multiple terms inside parentheses.

Front

Multiply: 3a(2a + 4)

Back

6a^2 + 12a

Front

Multiply: 5x(3x^2 + 2x + 1)

Back

15x^3 + 10x^2 + 5x

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.