Add / Subtract Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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 two or more polynomial expressions to form a new polynomial.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves taking the difference of two polynomial expressions by subtracting the coefficients of like terms.

Front

Simplify (2x + 5y - z) + (-6x - 4y + 7z)

Back

-4x + y + 6z

Front

Find the difference: (3 – 2x + 2x^2) – (4x – 5 + 3x^2)

Back

-x^2 - 6x + 8

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

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

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

How do you combine like terms?

Back

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

Front

Simplify (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)

Back

-2x^2 + 11x - 4