OBJECTIVES:1) TO EVALUATE POLYNOMIAL FUNCTIONS.

2) TO SIMPLIFY POLYNOMIALS BY COLLECTING LIKE TERMS.

PDN: SIMPLIFY.1)X²X³=

2)(X³Y² ) (XY )=

5-1 Polynomials & Functions

M11.D.1 M11.D.2

Vocab

Terms- the parts of an algebraic expression that are seperated by addition or subtraction signs.

Coefficients – in any term, the coefficient is the numeric factor of the term or the number that is multiplied by the variable.

ex)

Vocab

Degree of a Term – is the sum of the exponents of the variables in that term.

ex)Degree of a Monomial – is the sum of the

exponents of the variables in the monomial.ex)

Degree of a Polynomial – the greatest of the degrees of the terms after like terms are combined.

Vocab

Monomial – a polynomial with a single termex)

Binomial – a polynomial with two termsex)

Trinomial – a polynomial with three termsex)

Vocab

Polynomials are usually arranged in order of increasing or decreasing powers of one variable called ascending or descending order.

Polynomial Function – is a function that can be defined by a polynomial.

ex)

Examples: Polynomial Functions

P(x) = 1 – x² find the function values1) P(0)

2) P(1)

3) P(-1)

Try This Pg.207 a #1-3

Vocab

If two terms of a polynomial have the same variable raised to the same powers, the terms are called like terms.

Example: Collect like terms

1) 3 + 4x + y + 5 + 3y

2) 3x + 2x² + 4x + 5x²

3) 4x²y + xy + 5xy + 3x²y

Try This Pg.207 b-d