Operations with Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does it mean to find the product of two polynomials?

Back

Finding the product of two polynomials involves multiplying each term in the first polynomial by each term in the second polynomial and then combining like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It is used to multiply a single term by a sum or difference.

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, multiply the monomial by each term in the polynomial separately.

Front

What is the result of multiplying 4 and (r + 5)?

Back

4r + 20

Front

What is the result of multiplying (8n - 4) and (7n^2 - 5n + 3)?

Back

56n^3 - 68n^2 + 44n - 12

Front

What is the result of multiplying 6 and (5n - 2)?

Back

30n - 12

Front

What is the result of multiplying (3p - 1) and (2p^2 - 3p + 2)?

Back

6p^3 - 11p^2 + 9p - 2

Front

What is the result of multiplying (p - 4) and (5p - 1)?

Back

5p^2 - 21p + 4

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms. For example, x + 3 is a binomial.