Multiplying Polynomials by Monomials

Front

What is the key step when multiplying a monomial and a polynomial?

Back

Multiply the coefficients & add the exponents.

Front

Calculate: 5x(4x^3 + 8)

Back

20x^4 + 40x

Front

Calculate: 3x^2y^3(2xy^4 - 5y)

Back

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

Front

Calculate: 6t(5t^3 - 2t^2 + 3t)

Back

30t^4 - 12t^3 + 18t^2

Front

Simplify: 3x^2y(x^4y^3 - 5x^3y^5 + 2x^2y^7)

Back

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

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication.

Front

What does it mean to multiply coefficients?

Back

To multiply coefficients means to multiply the numerical factors in front of the variables.

Front

What happens to the exponents when multiplying like bases?

Back

When multiplying like bases, you add the exponents.

Front

What is the degree of a polynomial?

Back

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