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Unformatted text preview: as the remainder of division. Here order means the highest power of an expression. For example, the order of 2x^3 + x^2 - 5 is 3 3. Multiply the divisor with a power of x such that the term containing the highest power of x becomes equal in both the divisor and the dividend. 4. Subtract the product obtained by multiplication in step 3 from the dividend. 5. The result of the subtraction in step 4 is the new value of the dividend. Evaluating a polynomial for a given value of the variable: Substitute the value of the variable and evaluate the expression. Example: Let the polynomial be P(x) = x^3 + 2x^2 - 5x + 7 We need to evaluate P(x) at x = 3 Substitute x = 3. We get P(3) = 3^3 + 2 * 3^2 - 5 * 3 + 7 = 27 + 18 - 15 + 7 = 37...
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- Spring '10