Multiplying Polynomials by a Monomial Practice - B

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

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

How do you multiply a monomial by a polynomial?

Back

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

Front

What is the result of multiplying 3x^2y by (x^4y^3 - 5x^3y^5 + 2x^2y^7)?

Back

3x^6y^4 - 15x^5y^6 + 6x^4y^8.

Front

What is the result of multiplying 7x^2y^3 by (2x^4y^5 + 6xy^3)?

Back

14x^6y^8 + 42x^3y^6.

Front

What is the result of multiplying 5xy by (6x - y)?

Back

30x^2y - 5xy^2.

Front

What is the result of multiplying 3x^2y^3 by (2xy^4 - 5y)?

Back

6x^3y^7 - 15x^2y^4.

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 does it mean to distribute in multiplication?

Back

Distributing means to multiply each term in one expression by each term in another expression.

Front

What is the coefficient in a polynomial?

Back

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