Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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1.Compare and contrast the usefulness of remainder theorem and long division
2. If the result of a polynomial division is 2x3 - 4x2 - 5x + 23/x + 2 .make at least three definitive statements about the dividend and the divisor that is involved.
3. Do you agree with the contention that functions f(x) = x + 2 and g(x) = x2 - 4 /x - 2 are the same.provide evidence
4.do you agree that cubic function must have at least 1 x - intercept but not more than 3 whereas quadriceps function may or may not have X-Ray intercept provide evidence
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- Put it in standard form, divide the following polynomial using long division, and prove your sender by the remainder theorem.arrow_forward1. refer to image use polynomial long division to evaluate the following quotients. Show your work.arrow_forward1. Given the polynomail P(x) = 2x³ + x² - 13x + 6 and a given factor, (x-2). Use LONG DIVISON to factor the polynomial completely and write the function in factored form. 2. Given the polynomail F(x)= x³ - 3x² - 4x + 12 and a given factor, (x-3). Use SYNTHETIC DIVISON to factor the polynomial completely and write the function in factored form. You should also check your answers with the provided answer key once you submit the assignment. I went over them STEP BY STEP in the answer key!arrow_forward
- Determine whether the statement is true or false, "If a polynomial long-division problem results in a remainder that is a whole number, then the divisor is a factor of the dividend.". If the statement is false, make the necessary change(s) to produce a true statement.arrow_forwardThe polynomial p(x) = 8x³ - 18x² + 7x +3 has exactly 3 zeros. If p(1) = 0, use synthetic division and/or a graphing calculator to find all three of the zeros. Separate your answers with commas. Question Help: Video 1 Video 2 Submit Question Next Page esc F1 F2 # 20 F3 $ F4 % F5 MacBook Air F6 & F7arrow_forwardDivide using synthetic division. f(x) = (6x - 2x³ + 4x² - 3x + 1) + (x – 2) 187 6x + 12x + 22x 48x + 93 + X - 2 +12x' + 22x 48x + 93+ X - 2 4 2. 187 6x5 6x² +12x + 22x² 48x + 93x + X - 2 187 6x + 12x² + 22x² 48x + 93 + 2 x - 2 9.arrow_forward
- True or False: If synthetic division produces a remainder of zero, then the binomial divisor is a linear factor of the polynomial.arrow_forwardWhen expanded, the expression (x−12)^3 (x+4)^2 (x−1)^4 (x-12)^3 (x+4)^2 (x-1)^4 is a ninth degree polynomial. Let c be the coefficient of the term involving x^2.Enter the value of cc below. c =arrow_forward
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