Term
| What Are The Objectives of 3.4? |
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Definition
-Review Real Zeroes of Polynomials
-Use Rational Zeroes Theorem
-Find The Possible Number of Positive and Negative Zeros Of a Polynomial
-Find The Bounds On The Real Zeros of Polynomials
-Learn a Procedure For Finding The Real Zeros of a Polynomial Function |
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Term
| The zeros of y=F(x) also equal the solutions of... |
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Definition
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Term
| A real number r is rational if.... |
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Definition
r=p/q for some integers p and q
{0, 1, 2, ....} |
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Term
| If p/q is a rational zero p... |
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Definition
| P/asubscrpt0 and q/asubscrptn |
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Term
| How to Find All Possible Rational Zeroes |
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Definition
1.) Find the Factors of the Last Number In the Polynomial
2.) Find the Factors of the Leading Coefficient
3.) Pair off the factors of both and divide them to determine the rational zeros of the polynomial |
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Term
What are the rational zeros of:
5x^2+3x+2 |
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Definition
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Term
What are the rational zeros of:
3x^3+2x^2+x-1 |
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Definition
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Term
| How do you find an additional zero, if a zero is given for a polynomial? |
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Definition
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Term
| If 1-sqrt2 is a zero of a polynomial, what is another zero of the polynomial? |
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Definition
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Term
| Why is 1+sqrt2, an additional zero in a polynomial with a zero of 1-sqrt2? |
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Definition
| Because They Are Conjugates |
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Term
The number of variations of sign minus any even non-negative integer
[f(x)] |
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Definition
| The number of positive zeros of P |
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Term
| The number of negative zeros is |
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Definition
The number of variations of sign minus any even non-negative integer
[f(-x)] |
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Term
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Definition
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Term
| If q(x) has positive coefficients and k>0, then k... |
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Definition
| Is an upper bound on the roots of p |
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Term
| If the signs of q(x) alternate and k>0, then k.... |
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Definition
| Is a lower bound on the roots of p |
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