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2018Warm-up after 6.12 421. Which of the following is equivalent to (5x y )(3xy) ?2 4B. 45x yD. 15x yE. 45x y2 42.4 6A. 45x y2 64 6C. 15x y-2 34x y5 232x y3. What is the y-intercept of 2x 5y 10?Algebra 2 Section 6.2 day 1Classifying & EvaluatingPolynomial FunctionsLearning Target:I can classify polynomials & evaluate polynomial functionsat a given value. [F.IF.4]
2018A term is a number, variable, or a product of numbers and variables.examples:Polynomial- the sum or difference of many terms. polynomials can be classified by the number of terms.example:4x33x2 5–5x 4xy y7x5 x3 4y2 3Polynomials. Always write in standard form(exponents in order).Write the polynomials in standard form & classify by number of terms.1. –1 8k – k4 – 3k2 classify by termsdegree classify by degree2. 18a2 7a 4a3 classify by termsdegree classify by degree
2018Polynomials. the highest exponent of a polynomial is called the can also be classified by the degreeexamples52x4x2 7–x3 8x2 3x – 93x4 – 5x2** go back to #1,2, state the degree and classify by the degreeA polynomialfunction is a function in the form:f(x) anxn an-1xn-1 . a1x aoex: f(x) 4x3 6x2 - 5 an is the leading coefficient a0 is the constantA polynomial function must have .- All exponents must be whole numbers(cannot be negative, decimal, or fraction)- no variables can be under radicals or in denominator- All coefficients must be real numbers (no imaginary)
2018Decide whether the function is a polynomial function. If it is, then write thefunction in standard form, state the degree, type and the leadingcoefficient.21. f(x) 4x - 5x-3Yes orNoIf yes, standard formdegree typeleading coeff.If no, why?342. f(x) -0.8x x - 5Yes orNoIf yes, standard formdegree typeleading coeff.If no, why?3. f(x) 4 - 3 x - 5x2Yes orNoIf yes, standard formdegree typeleading coeff.If no, why?4. f(x) - 3x 8x1/2Yes orNoIf yes, standard formdegree typeleading coeff.If no, why?
2018One way to evaluate a polynomial is through direct substitution.5.Evaluate f(x) 5x x - 4x 1 when x -16.Evaluate f(x) 3x - x - 5x 10 when x 27.354242Evaluate f(x) x - 5x 10 when x -2Rally CoachAssignment:worksheet 6.2
2018Alg 2 6.2 Day 1 Worksheet Answers1. Yes2. No because can't32f(x) -2x 3x 4xDegree 3have negative exponentsQuarticl.c. -2f(x) -1/6 x2 1/3x 2/3Degree 2l.c. 55. No because i isnot a real numberl.c. -58. No variable can'tf(x) 11be under a root (fractionalDegree 0exponent)l.c. 11f(x) -5x 7Linearl.c. -1/6linear6. YesDegree 1Quadratic7. Yesf(x) 5x4 3x2 - x -7Degree 4Cubic4. Yes3. Yes
20189. 2810. -3911. 912. 12913. x517.2x414.18.2y232y10x30615. 27x19.625x816.20.5x42y23x6
06.10.2018 · Classifying & Evaluating Polynomial Functions Learning Target: I can classify polynomials & evaluate polynomial functions at a given value. [F.IF.4] 2018 A term is a number, variable, or a product of numbers and variables. examples: _ - the sum or difference of many terms. example: 4x3 3x2 5 –5x 4xy y 7x5 2x3 4y 3 polynomials can be classified by the number of terms .
