Add/Subtract/Multiply Polynomials (midterm review)

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, 4x^3 - 2x + 7 is a polynomial.

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 distributing the negative sign across 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. It is used to multiply a single term by a sum or difference.

Front

Simplify: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

Back

-8n^2 - 8n + 3

Front

Multiply: 5x(2x^3 + 6)

Back

10x^4 + 30x

Front

Multiply: (4x + 3)(2x - 1)

Back

8x^2 + 2x - 3

Front

Multiply: (2x - 1)(x + 2)

Back

2x^2 + 3x - 2

Front

Multiply: (x + 2)(x + 3)

Back

x^2 + 5x + 6