Polynomials. Definition of a Polynomial A polynomial is an expression that is constructed from variables and constants, and also includes coefficients.

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Presentation transcript:

Polynomials

Definition of a Polynomial A polynomial is an expression that is constructed from variables and constants, and also includes coefficients and exponents. Polynomials only deal with multiplication, addition, subtraction, and whole number nonnegative exponents.

Coefficients Exponent Variables Constant 4x 2 +3x+2 Terms 4x2+3x+24x2+3x+2

Forms of Polynomials Polynomials are often written in descending order with the largest exponent first. – Examples: 4x 2 +3x+2 2x 5 +3x 3 -4x 4x 7 -5x 3 +2x 2 -3

Degrees of Polynomials Polynomials are given a degree based on the largest exponent. – Examples: 4x 2 +3x+22 nd degree 2x 5 +3x 3 -4x5 th degree 4x 7 -5x 3 +2x th degree

Other Words To Know Variable – Usually represented as “x” and is generally what an equation is trying to solve for. Constant – A constant is just a plain number that is not being multiplied by a variable. Coefficient – A coefficient is attached to a variable and is to be multiplied by the variable. Exponent – An exponent is used to show when a variable or constant is being raised to a power. Term – A term is an individual piece within a polynomial that is being added or subtracted.