Simplify to find all real roots
[DOC File]Roots Solution - UH
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Roots Solution. Determine all real numbers A such that Ax3 + (2 – A)x2 – x – 1 has three real roots r1, r2 and r3, two of which have the same value, that is, r1= r2, r2 = r3 or r1= r3. Create, for each such A, (A: r1, r2, r3), where A is a real number and r1, r2 and r3 are the associated real roots, two of …
[DOC File]Imaginary and Complex Numbers
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Simplify . 11 . Simplify: 12 . Simplify: 13 . Find the roots of the function . 14. Given the function , find the largest integral value for B that would give the function imaginary roots. 15. Given the equation , find all the values of c that would give the equation real, rational, and equal roots. 16. Describe the nature of …
[DOC File]Algebra 2 Mid-Year Exam Name
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Simplify. ( x 3 – 3x 2 – 2x + 5 ) – ( x 2 – 2x + 2 ) A. – x 2 + 7 B. x 3 – 4x 2 – 4x + 3 ... Find the real roots of the equation. If there is an extraneous root, say so. 16. 16. x = 17. Solve the equation by Completing the Square or by using the Quadratic Formula { } 18. For the function defined by this formula, , find the ...
[DOC File]Chapter 7: Radical Functions and Rational Exponents
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Ex. #1: Finding all the Real Roots. a. Find the cube roots of 0.008 -1000 b. Find the fourth roots of 1 -0.0001 More Practice: a. Find all real fifth roots of 0, -1, 32. b. Find all real square roots of 0.0001, -1, 7-1, p.2. Parts. index radical sign. radicand. Principle Root. when there are 2 real roots +, the . principal root
[DOC File]Unit Plan for Chapter 9: Quadratic Equations and Functions
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Teams experiment w/grid, picture, and what they know to derive a probable equation for the parabola. All parabolas are assumed to have a vertex at the origin. Selected groups are chosen to present. Semi-Long Quiz: Students find x-intercepts by solving quadratic equations, and by using the quadratic formula when solving the equation is impractical.
[DOC File]Simplifying Radicals Notes
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The "un-perfect" roots. A. Not all real numbers are perfect roots, so we must learn to simplify radicals. B. Steps. 1. Try looking for the hidden squares when taking the square root or hidden cube. root, etc. If you cannot spot it immediately then use the following: 2.
[DOC File]PED-HSM11A2TR-08-1103-006-L01.indd
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Sep 03, 2015 · Class Date Roots and Radical Expressions. 6-1 Practice Form G Find all the real square roots of each number. 1. 400 2. (196 3. 10,000 4. 0.0625
[DOC File]Polynomial Functions and End Behavior
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Find the roots and the multiplicity of each root for y = (2x - 10)(x – 7)(x + 1)(x+1) 5. Identify the roots and state the multiplicity for each root: (Use your calculator.) a.) f(x) = b.) Closure: How is a real root with odd multiplicity different from a real root with even multiplicity? Explain (yes in words).
[DOC File]New Chapter 3
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For , find and simplify: 9. Find all values of x that satisfy . 10. Rewrite as a piecewise-defined function. ... For any quadratic equation , where a, b, and c are real numbers and , If 1. The equation has two real and unequal roots. 2. The equation has one real root (double root). 3. The equation has two complex number (no real) roots.
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