Objective Video Example by Mrs. G Give It a Try Lesson 6.1  Identify when a function is a polynomial function.  Evaluate polynomial functions for given values using direct substitution and synthetic substitution.

Video Objective Video Example by Mrs. G Give It a Try YouTube Mathispower4you

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue.

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. This is a polynomial in standard form:

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. This is a polynomial in standard form: Degrees on terms are in descending order. A constant term is just like having x 0 An x term is really x 1

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. This is a polynomial in standard form: Highest degree become degree of entire polynomial. Coefficient of first term in standard form becomes leading coefficient

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. There are two ways to classify a polynomial: by degree and by number of terms PolynomialDegreeClassified by Degree Classified by Number of Terms 6 -2x 3x + 1 -x 2 + 2x – 5 4x 3 – 8x 2x 4 – 7x 3 – 5x + 1

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. There are two ways to classify a polynomial: by degree and by number of terms PolynomialDegreeClassified by Degree Classified by Number of Terms 60 -2x1 3x x 2 + 2x – 52 4x 3 – 8x3 2x 4 – 7x 3 – 5x + 14

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. There are two ways to classify a polynomial: by degree and by number of terms PolynomialDegreeClassified by Degree Classified by Number of Terms 60constant -2x1linear 3x + 11linear -x 2 + 2x – 52quadratic 4x 3 – 8x3cubic 2x 4 – 7x 3 – 5x + 14quartic

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. There are two ways to classify a polynomial: by degree and by number of terms PolynomialDegreeClassified by Degree Classified by Number of Terms 60constantmonomial -2x1linearmonomial 3x + 11linearbinomial -x 2 + 2x – 52quadratictrinomial 4x 3 – 8x3cubicbinomial 2x 4 – 7x 3 – 5x + 14quarticpolynomial

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. Decide whether the function is a polynomial function. If it is, write the function in standard form and state its degree, leading coefficient, and type (using both names). NOT a polynomial because polynomials cannot have fractions for exponents.

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. Decide whether the function is a polynomial function. If it is, write the function in standard form and state its degree, leading coefficient, and type (using both names). IS a polynomial Already in standard form Degree is 0 LC is 3 It is a constant monomial

Example by Mrs. G Objective Video Example by Mrs. G Give It a Try Click to continue. Decide whether the function is a polynomial function. If it is, write the function in standard form and state its degree, leading coefficient, and type (using both names). IS a polynomial Standard form: Degree is 1 LC is -1 It is a linear binomial

Give It a Try Objective Video Example by Mrs. G Give It a Try Decide whether the function is a polynomial function. If it is, write the function in standard form and state its degree, leading coefficient, and type (using both names). Bring your work and answer to our next class! a. b. c.