Adding, Subtracting, Multiplying and Dividing 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 is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from each polynomial to form a new polynomial.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves subtracting the coefficients of like terms from each 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 inside a parenthesis.

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 product of (x + 7)(x + 7)?

Back

The product is x² + 14x + 49.

Front

What is the product of (2y - 7)(3y + 5)?

Back

The product is 6y² - 11y - 35.

Front

How do you simplify 2(3x + 5)?

Back

You distribute the 2 to get 6x + 10.