Adding/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 are like terms in a polynomial?

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. For example, 3x + 5x = 8x.

Front

What is the associative property?

Back

The associative property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c).

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

What is the commutative property?

Back

The commutative property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, a + b = b + a.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms from each polynomial. For example, (2x + 3) + (4x + 5) = 6x + 8.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (5x + 3) - (2x + 1) = 3x + 2.

Front

Simplify: (5x + 2) + (4x - 5)

Back

9x - 3.

Front

Find the sum: (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)

Back

-2x^2 + 11x - 4.