WebThere is a zero of the polynomial at x=-5 with an even multiplicity. There are no other zeroes. A polynomial function has the following properties: The degree of the polynomial is 7. The leading coefficient of the polynomial is -2. There is a zero of the polynomial at x=3 with an odd multiplicity. WebIf there is no solution, enter NO SOLUTIO 0, 2 + /2 , 2 – V2 (b) Determine whether the multiplicity of each zero is even or odd. smallest x-value odd multiplicity O odd multiplicityC largest x-value odd multiplicity (c) Determine the maximum possible number of turning points of the graph of the function.
Multiplicity of zeros of polynomials (video) Khan Academy
WebAll zeros are integers. Answer the following questions. (a) List the zeros whose multiplicity is even. Select the correct choice below and fill in any answer boxes within your choice. A. (Type an integers or a simplified fractions. Use a comma to separate answers as needed.) B. There are no such zeros. List the zeros whose multiplicity is odd. WebOct 14, 2024 · Even or Odd Degree? . or - Leading Coeff + or - Leading Coeffi . or - Leading Coeff. Zeros and their Muliplicity: Zeros and their Muliplicity Zeros and their Muliplicity Factor Root Multiplicity Factor Root Multiplicity Factor Root Determine the MAXIMUM possible number of relative extrema for each polynomial function. thompson anti discriminatory practice
What is multiplicity? Wyzant Ask An Expert
WebDec 20, 2024 · For zeros with even multiplicities, the graphs touch or are tangent to the x-axis. For zeros with odd multiplicities, the graphs cross or intersect the x-axis. See Figure 3.4.8 for examples of graphs of polynomial functions with … WebThe intercept at x = −5 is clearly of even degree, because the graph just "kisses" the axis there, and then turns back the way it came. So this zero could be of multiplicity two, or … WebRules of multiplicity: If the multiplicity is even (such as 2) then the graph will only touch the x-axis and then turn around. If the multiplicity is odd, then the graph crosses the x-axis at the zero. Another general rule is that if the multiplicity is greater than 10, the graph tends to flatten out at that zero. Share Cite Follow thompson anti oppressive practice book