Adding Polynomials

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What is a polynomial?

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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 + 1 is a polynomial.

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What is a binomial?

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A binomial is a polynomial that contains exactly two terms. For example, x + 5 is a binomial.

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What is a cubic polynomial?

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A cubic polynomial is a polynomial of degree three, which means the highest exponent of the variable is three. For example, x^3 + 2x^2 - 5 is a cubic polynomial.

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How do you add polynomials?

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To add polynomials, combine like terms by adding their coefficients. For example, (2x + 3) + (4x + 5) = (2x + 4x) + (3 + 5) = 6x + 8.

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What are like terms?

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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.

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What is the degree of a polynomial?

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

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What is a quadratic polynomial?

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A quadratic polynomial is a polynomial of degree two, which means the highest exponent of the variable is two. For example, x^2 - 4 is a quadratic polynomial.

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What is a monomial?

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A monomial is a polynomial that contains exactly one term. For example, 3x^2 is a monomial.

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What is the result of (2x + 3) + (4x + 5)?

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The result is 6x + 8.

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What is the result of (x^2 + 2x) + (3x^2 - x)?

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The result is 4x^2 + x.