Adding and Subtracting 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 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 are like terms?

Back

Like terms are terms in a polynomial that have the same variable and exponent.

Front

How do you subtract polynomials?

Back

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

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

Add: (3x - 2) + (3x^2 + 6x)

Back

3x^2 + 9x - 2

Front

Add: (3x^2 + 2x + 1) + (2x^2 - 4x - 5) + (3x - 1)

Back

5x^2 + x - 5

Front

Find the sum: (3x^3 + 3x^2 - 4x + 5) + (x^3 - 2x^2 + x - 4)

Back

4x^3 + 1x^2 - 3x + 1

Front

Add: (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x)

Back

2x^3 - 6x^2 + 9x