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The Rational Roots Theorem

Answers to pre-test

1. { ± 1 , ± 3 , ± 7 , ± 21 }
2. No. The remainder is -11 when you divide.
3, The equation resulting from reducing the number of roots in an equation. For example, if p(x) = 0 is a polynomial equation and f(x) is a polynomial factor (other than a constant) of p(x), then the equation obtained by dividing p(x) by f(x) is called the depressed equation.
4, 100, because there will be 100 linear factors
5. - 7
6. 2x3 - 5x2 + 5x - 1
7(a) { - 2 , 1 , 3 }
7(b) { - , - , }
7(c) { -2 , 1 , 2i , - 2i }