9.7 Dividing Monomials & Polynomials

Front

What is the quotient rule for dividing monomials?

Back

The quotient rule states that when dividing two monomials, you subtract the exponents of like bases: \( \frac{a^m}{a^n} = a^{m-n} \).

Tags

CCSS.8.EE.A.1

Front

Simplify the expression: \( \frac{5x^3y^2}{5xy} \)

Back

The simplified expression is \( x^2y \).

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.

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial separately.

Tags

CCSS.HSA.APR.D.6

Front

Simplify the expression: \( \frac{18y^{6} + 9y^{4} - 12y^{2}}{3y^{2}} \)

Back

The simplified expression is \( 6y^{4} + 3y^{2} - 4 \).

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing \( -18x^5 - 12x^3 - 6x^2 \) by \( -3x \)?

Back

The result is \( 6x^4 + 4x^2 + 2x \).

Tags

CCSS.HSA.APR.D.6

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial means to combine like terms and reduce the expression to its simplest form.

Tags

CCSS.6.EE.A.4

Front

What is a like term in polynomials?

Back

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

Tags

CCSS.6.EE.A.2B

Front

What is the degree of a polynomial?

Back

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