7.1/7.2 Adding, Subtracting, and Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x - 5 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 changing the signs of the terms in the polynomial being subtracted 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 polynomial.

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is the FOIL method?

Back

FOIL stands for First, Outer, Inner, Last. It is a technique used to multiply two binomials.

Front

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

Back

x^2 - x - 6

Front

Find the product: (x - 1)(x - 8)

Back

x^2 - 9x + 8

Front

Find the product: (3r - 4)(7r - 5)

Back

21r^2 - 43r + 20

Front

Find the product: (5x + 2)(x^2 - 3x + 6)

Back

5x^3 - 13x^2 + 24x + 12