Add/Subtract/Multiply Polynomials

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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.

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What does it mean to add polynomials?

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Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What is a like term?

Back

Like terms are terms in a polynomial that have the same variable raised to the same exponent. For example, 3x^2 and 5x^2 are like terms.

Front

How do you subtract polynomials?

Back

To subtract polynomials, you change the sign of the terms in the polynomial being subtracted and then combine like terms.

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 coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 5x^2, 5 is the coefficient.

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Front

Simplify: (4x^3 + 5x^2 + 3x) + (-2x^3 + 1x^2 + 6x)

Back

Front

Add the polynomials: (2x + 5y) + (3x - 2y)

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Front

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

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