Roots of a graph
[DOC File]Graphing the Parabola
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Graph the function on your calculator to check your answers. When the zeros are all integers it is easy to use the calculator, but if they are not all integers it is hard to tell if it factors or if the solutions are irrational, (i.e. one of the factors is a quadratic that can’t be reduced further using only integer coefficients)
[DOC File]POLYNOMIAL PATTERNS Learning Task:
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Graphing the Parabola. 1) a) Graph y = x2 – 4x + 3 for -1 < x < 5. b) Is the vertex a minimum or maximum? c) Find the axis of symmetry, the vertex, and the roots.
[DOC File]Polynomial Functions and End Behavior
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*Describes the nature of the roots* Value Perfect Square Roots Graph > 0 > 0 < 0 = 0 Find the value of the discriminant and describe the nature of the roots. Example 6 Example 7 . Pg 357, 8-36 even. Sum and Product of Roots §6.5. x = 4 x = -7. Writing Equations (Quadratic) 1. 2.
Rooted graph - Wikipedia
Step 3 Test on the possible rational roots. Look at the graph, which one seems possible. Use Division and the Remainder Theorem to test. Step 4 List all factors. Step 5 Find all roots. Set each factor = 0. Sometimes you’ll need the quadratic formula. (Ignore the numbering.) Follow the directions. Just practice listing the possible roots. Show ...
[DOC File]ALGEBRA 2 X
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Investigation on the Roots of Polynomials. Let’s review by finding the roots of quadratic functions. Look at the graph of . Use completing the square or the quadratic formula to verify the solutions you found on the graph. Now, we will try to find roots of polynomials of larger degrees. Let’s start with the cubic polynomial .
[DOC File]Investigation on the Roots of Polynomials
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How many roots are there? Why are there not five roots since this is a fifth degree polynomial? Check the roots by generating a graph of this equation using your calculator. For other polynomial functions, we will not be able to draw upon our knowledge of factoring quadratic functions to find roots.
[DOC File]Solving Quadratic Equations by Graphing
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The graph of is shown. First, graph the inverse by using the line of symmetry. Next, find the inverse algebraically, and graph it . to check your graph of the inverse. Is the inverse a function, or just a relation? There is a trick to find if the INVERSE of a function will be a function without even finding the inverse.
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