Rvc Solving Polynomial Functions
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RVC Solving Polynomial Functions How do you find the zeros of a polynomial? Things to help …
Remainder Theorem Factor Theorem Fundamental Theorem of Algebra Descartes’ rule of signs Upper/Lower bounds Rational Root Test Intermediate Value Theorem Bisection Method Graphing Calculator Synthetic Division Guess and Check
1) Find all roots of the equation x 3 + 7 x 2 − x − 7 = 0
2) Solve the equation x 3 − 2 x + 4 = 0
3) Show that the equation 2 x 3 + 17 x 2 + 31x − 20 = 0 has at least one real root between -2 and -1
4) page 421 #48
5) Solve the equation x 4 − 3 x 3 + 27 x 2 − 75 x + 50 = 0
6) Solve the equation x 4 − 4 x 3 + 8 x 2 − 16 x + 16 = 0
7) Find the cube roots of 8
Practice 5.3 #5, 15, 21, 31, 39, 43, 51
5.4 #7, 17, 27, 30
Remainder Theorem Factor Theorem Fundamental Theorem of Algebra Descartes’ rule of signs Upper/Lower bounds Rational Root Test Intermediate Value Theorem Bisection Method Graphing Calculator Synthetic Division Guess and Check
1) Find all roots of the equation x 3 + 7 x 2 − x − 7 = 0
2) Solve the equation x 3 − 2 x + 4 = 0
3) Show that the equation 2 x 3 + 17 x 2 + 31x − 20 = 0 has at least one real root between -2 and -1
4) page 421 #48
5) Solve the equation x 4 − 3 x 3 + 27 x 2 − 75 x + 50 = 0
6) Solve the equation x 4 − 4 x 3 + 8 x 2 − 16 x + 16 = 0
7) Find the cube roots of 8
Practice 5.3 #5, 15, 21, 31, 39, 43, 51
5.4 #7, 17, 27, 30
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