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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

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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8-91 a and b and c
8-91. Polynomial division P(x) D(x) (where D(x)#0) can be used to change any polynomial in standard form into the form P(x)=D(x) Q(x)+R. Use polynomial division to rewrite each polynomial in this form given the divisor D P(x)= 2x-21x2-9x-30 D, (x) = x -11 P(x) = 3x +5x-4x+3 b. a. D2(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 you notice? d. Use the original polynomial in part (b) to evaluate P(-2). Then use your rewritten polynomial to evaluate P,(-2). What do you notice?
Transcribed Image Text:8-91. Polynomial division P(x) D(x) (where D(x)#0) can be used to change any polynomial in standard form into the form P(x)=D(x) Q(x)+R. Use polynomial division to rewrite each polynomial in this form given the divisor D P(x)= 2x-21x2-9x-30 D, (x) = x -11 P(x) = 3x +5x-4x+3 b. a. D2(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 you notice? d. Use the original polynomial in part (b) to evaluate P(-2). Then use your rewritten polynomial to evaluate 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 the form 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-30 D, (x) = x-11 P(x) = 3x +5x³ - 4x +3 b. a. D; (x) = x +2 c. Use the original polynomial in part (a) to evaluate P(11). Then use your rewritten polynomial to evaluate d. Use the original polynomial in part (b) to evaluate P(-2). Then use your rewritten polynomial to evaluate P,(-2). What do you notice? P(11). What do you notice? e. The Remainder Theorem states that if a polynomial P(x) is divided by (x-c), then the remainder is the value of P(c). Why do you think this is true? f. What can you conclude if P(x) is divided by (x-c) and the remainder is 0?
Transcribed Image Text:8-91. Polynomial division (where D(x)#0) can be used to change any polynomial in standard form into the form 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-30 D, (x) = x-11 P(x) = 3x +5x³ - 4x +3 b. a. D; (x) = x +2 c. Use the original polynomial in part (a) to evaluate P(11). Then use your rewritten polynomial to evaluate d. Use the original polynomial in part (b) to evaluate P(-2). Then use your rewritten polynomial to evaluate P,(-2). What do you notice? P(11). What do you notice? e. The Remainder Theorem states that if a polynomial P(x) is divided by (x-c), then the remainder is the value of P(c). Why do you think this is true? f. What can you conclude if P(x) is divided by (x-c) and the remainder is 0?
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