Add, Subtract, Multiply 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, which are terms that have the same variable raised to the same power.

Front

What is the process for subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method) to multiply the first terms, outer terms, inner terms, and last terms.

Front

What is the FOIL method?

Back

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

Front

Multiply: (4x + 3)(2x - 1)

Back

8x² + 2x - 3

Front

What is the sum of the polynomials (4x - 2x³) + (5x³ - 4x + 5)?

Back

3x³ + 5

Front

Multiply: 5x(2x + 3)

Back

10x² + 15x

Front

Add the polynomials (x³ - 6x² + 3) + (3x³ + 4x - 1).

Back

4x³ - 6x² + 4x + 2

Front

Multiply: (3x - 5)(4x² - 2x - 3)

Back

12x³ - 26x² + x + 15