Degree 4; Zeros -2-3i; 5 multiplicity 2. 4. There is not sufficient information in the problem statement to find A. 1) f(x)=x^5-7x^4-9x^3+81x^2-108x 2) f(x)=x^5+5x^3-9x^2-81x-108 3) f(x)=x^5+7x^4-9x^3-81x^2+`08x 4) f(x)=x^5+5x^4-9x^3-81x^2-108x I dont understand this at all. answered • 12/09/19, Experienced Physics Teacher for Physics Tutoring, Set this up as a product of factors containing the zeros, with the multiplicity as a power. A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). 6:39. Write a function in standard form that could represent this function. Christopher A. 2) is obviously wrong since x isn't a common factor. We know that ƒ has zeroes at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). The graph of the function ( ) the x-axis at −6 . Mathbyfives 86,235 views. A hotel has 250 rooms. f(x) is a polynomial with real coefficients. Okay, my questions says find a polynomial of degree 5 with -3 as a zero of multiplicity 3, 0 as a zero of multiplicity 1, and 4 as a zero of multiplicity 1. x = -3 (three times) means you will have three factors of, (edit... that's weird, I could have sworn that I linked to wolframalpha.com......). A seventh degree polynomial function has zeros of −6 , 0 (multiplicity of 3), 1 (multiplicity of 2), and 4. Add your answer and earn points. Since f(x) has a zero of 5, f(x) has a factor of x-5, Since f(x) has a second zero of 5, f(x) has a second factor of x-5, Since f(x) has a factor of -2-3i, f(x) has a factor of x-(-2-3i), Since f(x) has a factor of -2+3i, f(x) has a factor of x-(-2+3i), The polynomial with degree 4 and zeros of -2-3i and 5 wiht multiplicity 2 is, 5.3 Complex Zeros; Fundamental Theorem of Algebra, Form a Polynomial given the Degree and Zeros, Finding Domain: Polynomial, Rational, Root, Chapter 1: Equations, Inequalities, and Applications, 1.1 Linear Equations and Rational Equations, Solving Quadratic Equations by Factoring: Trinomial a=1, Solving a Quadratic Equation by Factoring: Difference of Squares, Solving Quadratic Equations: The Square Root Method, Solving a Quadratic Equation: The Square Root Method Example 1 of 1, Solving Quadratic Equations: Completing the Square, Quadratic Equation: Completing the Square, Solving Quadratic Equations: the Quadratic Formula, Solving a Quadratic Equation using the Quadratic Formula: Example 1 of 1, 1.8 Absolute Value Equations and Inequalities, MAC1105 College Algebra Practice Problems, 3.3 Graphs of Basic Functions; Piecewise Functions, 3.5 Combination of Functions; Composition of Functions, 3.6 One-to-one Functions; Inverse Functions, 4.2 Applications and Modeling of Quadratic Functions, 5.4 Exponential and Logarithmic Equations, 5.5 Applications of Exponential and Logarithmic Functions, 7.1 Systems of Linear Equations in Two Variables, 3.4 Library of Functions; Piecewise-defined Functions, 3.6 Mathematical Models: Building Functions, 4.1 Linear Functions and Their Properties, 4.3 Quadratic Functions and Their Properties, 4.4 Build Quadratic Models from Verbal Descriptions and from Data, 5.2 The Real Zeros of a Polynomial Function, 6.2 One-to-one Functions; Inverse Functions, 6.6 Logarithmic and Exponential Equations, 6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models, 8.1 Systems of Linear Equations: Substitution and Elimination, 8.2 Systems of Linear Equations: Matrices, 8.3 Systems of Linear Equations: Determinants, Multiply each term in one factor by each term in the other factor. Still have questions? Select answers form the drop-down menus to correctly complete the statements. The zeros of a ninth degree polynomial function are 1 (multiplicity of 3), 2, 4, and 6 (multiplicity of 4). By the Fundamental Theorem of Algebra, since the degree of the polynomial is 4 the polynomial has 4 zeros if you count multiplicity. answered • 12/09/19, Python, Machine Learning, Math and Programming Expert. Then it gives four answers. Find the Zeros of a Polynomial and Their Multiplicities - Duration: 4:30. Now we only need to express this in standard form, which is of the form: ax7 + bx6 + cx5 + dx4 + ex3 + fx2 + gx1 + hx0. Join Yahoo Answers and get 100 points today. Man dangles from Trump Tower, asks to meet president. Find the polynomial of least degree containing all the factors found in step 2. Choose an expert and meet online. The graph of the function will cross through the x-axis at only The graph will only touch (be tangent to) the x-us at the x-axis At the zero of 2, the graph of the function will choose... See answer Mayuichikazu is waiting for your help. Finding All Zeros of a Polynomial Equation - Duration: 4:46. Did an intentional penalty boost Titans comeback? The New Yorker suspends Toobin after Zoom incident, Woman, 9 months pregnant, easily breaks 6-minute mile, With just days to go in the campaign, Trump rips toilets, WH ups stimulus offer as Pelosi's deadline looms, SCOTUS blocks GOP effort to limit mail-in voting, Kim Kardashian was warned against working with Trump, 'Secret weapon' gives GOP hope for Election Day, Blue wave would rain $2.5 trillion stimulus: Analyst. 4:30. Get a free answer to a quick problem. Anyway, expand and simplify f(x) to get it in standard form. There are three given zeros of -2-3i, 5, 5. Multiply it all out. How much milk does a gallon jug of milk hold? A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4).