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, combined using addition, subtraction, and multiplication.

Front

What does it mean to add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable parts the same.

Front

What does it mean to subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

What is the degree of a polynomial?

Back

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

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 a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the result of multiplying (x - 1)(x - 8)?

Back

x^2 - 9x + 8.

Front

What is the result of adding (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)?

Back

-2x^2 + 11x - 4.

Front

What is the result of simplifying (4x^2 + x) - (x^2 + 2x)?

Back

3x^2 - x.

Front

What is the product of (5x + 2)(x^2 - 3x + 6)?

Back

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