Add/Subtract/Multiply Polynomials

Front

What is a polynomial?

Back

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

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

Front

How do you multiply a polynomial by a monomial?

Back

To multiply a polynomial by a monomial, distribute the monomial to each term of the polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a parenthesis.

Front

Simplify: 5(3x + 2)

Back

15x + 10

Front

Multiply: (2b + 3)(3b^2 + 2b + 1)

Back

6b^3 + 13b^2 + 8b + 3

Front

Find the product: (x + 2)(x + 3)

Back

x^2 + 5x + 6

Front

Simplify: (3x - 5)(4x^2 - 2x - 3)

Back

12x^3 - 26x^2 + x + 15

Front

What is a like term?

Back

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