Add and Subtract 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

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 changing the signs of the terms in the polynomial being subtracted and then combining like terms.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same.

Front

Solve: (9x + 17) + (19x - 27)

Back

28x - 10

Front

Solve: (4x² + x) - (x² + 2x)

Back

3x² - x

Front

Solve: (3x - 4) + (12x + 10)

Back

15x + 6

Front

Solve: (4x² + 10x - 8) - (2x² - 2x + 6)

Back

2x² + 12x - 14

Front

Solve: (13x + 30) - (20x + 6)

Back

-7x + 24