Dividing Polynomials By Monomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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

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.

Front

What is the quotient of 15x^9 ÷ 3x^3?

Back

5x^6

Front

What is the quotient of 8x^7 ÷ 4x^2?

Back

2x^5

Front

What is the result of dividing 2x^8 - 8x^2 - 28x by 2x?

Back

x^7 - 4x - 14

Front

What is the result of dividing 6a^2b - 12ab by 6ab?

Back

a - 2

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parts.

Front

What is the simplified form of 5p^2 - 16p?

Back

p(5p - 16)

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.