Beginning and Intermediate Algebra (6th Edition)
6th Edition
ISBN: 9780321969163
Author: Margaret L. Lial, John Hornsby, Terry McGinnis
Publisher: PEARSON
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Chapter B, Problem 21E
To determine
To calculate: The value of
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values are given. With the help of these values, calculate the values of f (5) and f ′ (5) with the minimum possible error, by finding the 2nd order interpolation polynomial p2 (x) and using this polynomial.
Use the Remainder Theorem to find the remainder that occurs when
P(x) = 3x4 + 5x3 − 2x2 − 4x + 9 is divided by the binomial.
x + 4
Use the Remainder Theorem to evaluate P(c). Show your work.
P(x)=x4 −8x2 +13, c=2
Chapter B Solutions
Beginning and Intermediate Algebra (6th Edition)
Ch. B - Prob. 1ECh. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Use the remainder theorem to decide whether the...Ch. B - Use the remainder theorem to decide whether the...Ch. B - Prob. 28ECh. B - Use the remainder theorem to decide whether the...Ch. B - Prob. 30ECh. B - Use the remainder theorem to decide whether the...Ch. B - Use the remainder theorem to decide whether the...Ch. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38E
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- a If we divide the polynomial P(x) by the factor xc and we obtain a remainder of 0, then we know that c is a ________ of P. b If we divide the polynomial P(x) by the factor xc and we obtain a remainder of k, then we know that P(c)=.arrow_forwardFind the image of the square in Example 6 after a vertical stretch by a factor of k=2.arrow_forwardFind the product. (3x+2)(x34x2+7)arrow_forward
- If division of a polynomial by a binomial resultsin a remainder of zero, what can be conclude?arrow_forward(a) If a is a zero of polynomial P. then _________mustbe a factor of P(x). (b) If a is a zero of multiplicity m of the polynomial P, then _______must a factor Of P(x) when we factor P completely.arrow_forwardUse the Remainder Theorem to find the remainder that occurs when P(x) = 3x4 + 4x3 − 2x2 − 4x + 4 is divided by the binomial. x − 1arrow_forward
- Use the remainder theorem to determine the remainder when P(x)= 3x^5 - 3x^2 - x+ 2 Is divided by (x-3)arrow_forwardUse the Remainder Theorem to evaluate f(x) = 3x3 + 8x2 + 5x − 7 when x = −2. Check your answer.arrow_forwardUse the remainder theorem to find the remainder that would have resulted if you divided P(x) = x^3 -4x^2 + x +6 by x - 1. Then determine if x -1 is a factor of P(x) = x^3 -4x^2 +x +6. True or False: The expression x-1 is a factor of P(x)= x^3 _4x^2 + x + 6.arrow_forward
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