8-91 a and b and c 8-91.Polynomial divisionP(x)D(x)(where D(x)#0) can be used to change any polynomial in standard form into theform P(x)=D(x) Q(x)+R. Use polynomial division to rewrite each polynomial in this form given the divisor DP(x)= 2x-21x2-9x-30D, (x) = x -11P(x) = 3x +5x-4x+3b.a.D2(x) = x +2c. Use the original polynomial in part (a) to evaluateP(11). Then use your rewritten polynomial to evaluateP(11). What do you notice?d. Use the original polynomial in part (b) to evaluateP(-2). Then use your rewritten polynomial toevaluate P,(-2). What do you notice? 8-91.Polynomial division (where D(x)#0) can be used to change any polynomial in standard form into theform P(x)-D(x)·Q(x)+R. Use polynomial division to rewrite each polynomial in this form given the divisor, D(x).P(x) = 2x-21x2-9x-30D, (x) = x-11P(x) = 3x +5x³ - 4x +3b.a.D; (x) = x +2c. Use the original polynomial in part (a) to evaluateP(11). Then use your rewritten polynomial to evaluated. Use the original polynomial in part (b) to evaluateP(-2). Then use your rewritten polynomial toevaluate P,(-2). What do you notice?P(11). What do you notice?e. The Remainder Theorem states that if apolynomial P(x) is divided by (x-c), then the remainder isthe value of P(c). Why do you think this is true?f. What can you conclude if P(x) is divided by (x-c) andthe remainder is 0?

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Description: 8-91 a and b and c 8-91.Polynomial divisionP(x)D(x)(where D(x)#0) can be used to change any polynomial in standard form into theform P(x)=D(x) Q(x)+R. Use polynomial division to rewrite each polynomial in this form given the divisor DP(x)= 2x-21x2-9x

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Polynomial division (where D(x)#0) can be used to change any polynomial in standard form into the P(x) D(x) form P(x)=D(x):Q(x)+R. Use polynomial division to rewrite each polynomial in this form given the divisor. Do P(x) = 2x-21x2 -9x-30 a. P(x) = 3x +5x -4x+3 b. D, (x) = x-11 D (x) = x +2 c. Use the original polynomial in part (a) to evaluate P(11). Then use your rewritten polynomial to evaluate P(11). What do d. Use the original polynomial in part (b) to evaluate P(-2). Then use your rewritten polynomial to notice? evaluate P(-2). What do you notice? you

Polynomial division (where D(x)#0) can be used to change any polynomial in standard form into the P(x) D(x) form P(x)=D(x):Q(x)+R. Use polynomial division to rewrite each polynomial in this form given the divisor. Do P(x) = 2x-21x2 -9x-30 a. P(x) = 3x +5x -4x+3 b. D, (x) = x-11 D (x) = x +2 c. Use the original polynomial in part (a) to evaluate P(11). Then use your rewritten polynomial to evaluate P(11). What do d. Use the original polynomial in part (b) to evaluate P(-2). Then use your rewritten polynomial to notice? evaluate P(-2). What do you notice? you

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.3: Dividing Polynomials

Problem 76E

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