Adding Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x - 5 is a 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 raised to the same power. For example, 3x^2 and 5x^2 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 + 4x = 7x.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in 4x^3 + 2x^2 - x, the degree is 3.

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. For example, in 5x^4 + 3x^2, the leading coefficient is 5.

Front

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

Back

4x³-6x²+4x+2

Front

Add the polynomials: (3x²+xy-5y²) + (2x²-xy+3y²)

Back

5x²-2xy+8y²

Front

Add the polynomials: (2xy - 3x² + 4y - 5) + (-3xy + 4y² - 3y + 8)

Back

-1xy - 3x² + 4y² + 1y + 3

Front

Add the polynomials: (2x + 5y - z) + (-6x - 4y + 7z)

Back

-4x + y + 6z