Operations with Monomials

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 raised to non-negative integer powers.

Front

How do you simplify the expression 2ef(e-3f)?

Back

The simplified form is 2e^2f - 6ef^2.

Front

What is the result of combining like terms in the expression -3c^5 + 2c^5 - 9c^5?

Back

The result is -10c^5.

Front

What is the simplified form of the expression 3a^3 - 2a^3 + 6a^3 - 2b^4?

Back

The simplified form is 7a^3 - 2b^4.

Front

What operation is performed on the exponents when raising a power to another power?

Back

Multiplication.

Front

How do you simplify the expression \frac{g^4h}{g^2h^3}?

Back

The most simplified form is \frac{g^2}{h^2}.

Front

What is the degree of a monomial?

Back

The degree of a monomial is the sum of the exponents of its variables.

Front

What is the product of two monomials?

Back

The product of two monomials is obtained by multiplying their coefficients and adding the exponents of like variables.

Front

How do you divide monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents of like variables.

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables raised to non-negative integer powers and their coefficients, which can have one or more terms.