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Polynomial Division and the Division Algorithm Section 4.2 337 Exercises Use polynomial long division to rewrite each of the following fractions in the form r(x) q(x)+ where d(x) is the denominator of the original fraction, q(x) is the d(x)’ quotient, and r(x) is the remainder. See Examples 1 through 3. 6x* – 2x +8x² +3x+1 5x2 +9x – 6 2. 1. 2x² +2 x+2 x³ – 6x² +12x – 10 3. 3 7x° – x* + 2x³ – x² 4. x² – 4x +4 х x² +1 4x³ – 6x² + x –7 5. .3 x' +2x? - 4x –-8 6. x+2 3x° +18x* – 7x³ +9x² +4x 7. 9x – 10x* + 18x³ – 28x² + x+3 8. .5 3x² – 1 9x? – x-1 2x - 5x +7x³ – 10x2 + 7x - 5 x² – x +1 14x 9. 10. 2x' +3x x* + x² - 20x - 8 11. 2x -3x2 +1 12. x +1 .3 9x' +2x 13. -4x + 8x - 2 14. 3 Зх - 5 2x° + x 3 formula oleio 2x2 +x-8 15. 5.x +x* -13x – 2x² +6x 16. x³ - 2x 2x³ - 3ix? +11x+(1-5i) 17. 9x³ - (18+9i)x² +x+(-2-i) 18. 2х-i x-2-i 3x + ix +9x+3i 19. 35x* + (14– 10i)x³-(7+4i)x² +2ix 20. Зx+i 7х -2i Use synthetic division to determine if the given value for k is a zero of the polynomial. If not, determine p(k). See Example 4. corresponding .2

Polynomial Division and the Division Algorithm Section 4.2 337 Exercises Use polynomial long division to rewrite each of the following fractions in the form r(x) q(x)+ where d(x) is the denominator of the original fraction, q(x) is the d(x)’ quotient, and r(x) is the remainder. See Examples 1 through 3. 6x* – 2x +8x² +3x+1 5x2 +9x – 6 2. 1. 2x² +2 x+2 x³ – 6x² +12x – 10 3. 3 7x° – x* + 2x³ – x² 4. x² – 4x +4 х x² +1 4x³ – 6x² + x –7 5. .3 x' +2x? - 4x –-8 6. x+2 3x° +18x* – 7x³ +9x² +4x 7. 9x – 10x* + 18x³ – 28x² + x+3 8. .5 3x² – 1 9x? – x-1 2x - 5x +7x³ – 10x2 + 7x - 5 x² – x +1 14x 9. 10. 2x' +3x x* + x² - 20x - 8 11. 2x -3x2 +1 12. x +1 .3 9x' +2x 13. -4x + 8x - 2 14. 3 Зх - 5 2x° + x 3 formula oleio 2x2 +x-8 15. 5.x +x* -13x – 2x² +6x 16. x³ - 2x 2x³ - 3ix? +11x+(1-5i) 17. 9x³ - (18+9i)x² +x+(-2-i) 18. 2х-i x-2-i 3x + ix +9x+3i 19. 35x* + (14– 10i)x³-(7+4i)x² +2ix 20. Зx+i 7х -2i Use synthetic division to determine if the given value for k is a zero of the polynomial. If not, determine p(k). See Example 4. corresponding .2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
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Polynomial Division and the Division Algorithm Section 4.2 337 Exercises Use polynomial long division to rewrite each of the following fractions in the form r(x) q(x)+ where d(x) is the denominator of the original fraction, q(x) is the d(x)’ quotient, and r(x) is the remainder. See Examples 1 through 3. 6x* – 2x +8x² +3x+1 5x2 +9x – 6 2. 1. 2x² +2 x+2 x³ – 6x² +12x – 10 3. 3 7x° – x* + 2x³ – x² 4. x² – 4x +4 х x² +1 4x³ – 6x² + x –7 5. .3 x' +2x? - 4x –-8 6. x+2 3x° +18x* – 7x³ +9x² +4x 7. 9x – 10x* + 18x³ – 28x² + x+3 8. .5 3x² – 1 9x? – x-1 2x - 5x +7x³ – 10x2 + 7x - 5 x² – x +1 14x 9. 10. 2x' +3x x* + x² - 20x - 8 11. 2x -3x2 +1 12. x +1 .3 9x' +2x 13. -4x + 8x - 2 14. 3 Зх - 5 2x° + x 3 formula oleio 2x2 +x-8 15. 5.x +x* -13x – 2x² +6x 16. x³ - 2x 2x³ - 3ix? +11x+(1-5i) 17. 9x³ - (18+9i)x² +x+(-2-i) 18. 2х-i x-2-i 3x + ix +9x+3i 19. 35x* + (14– 10i)x³-(7+4i)x² +2ix 20. Зx+i 7х -2i Use synthetic division to determine if the given value for k is a zero of the polynomial. If not, determine p(k). See Example 4. corresponding .2
Transcribed Image Text:Polynomial Division and the Division Algorithm Section 4.2 337 Exercises Use polynomial long division to rewrite each of the following fractions in the form r(x) q(x)+ where d(x) is the denominator of the original fraction, q(x) is the d(x)’ quotient, and r(x) is the remainder. See Examples 1 through 3. 6x* – 2x +8x² +3x+1 5x2 +9x – 6 2. 1. 2x² +2 x+2 x³ – 6x² +12x – 10 3. 3 7x° – x* + 2x³ – x² 4. x² – 4x +4 х x² +1 4x³ – 6x² + x –7 5. .3 x' +2x? - 4x –-8 6. x+2 3x° +18x* – 7x³ +9x² +4x 7. 9x – 10x* + 18x³ – 28x² + x+3 8. .5 3x² – 1 9x? – x-1 2x - 5x +7x³ – 10x2 + 7x - 5 x² – x +1 14x 9. 10. 2x' +3x x* + x² - 20x - 8 11. 2x -3x2 +1 12. x +1 .3 9x' +2x 13. -4x + 8x - 2 14. 3 Зх - 5 2x° + x 3 formula oleio 2x2 +x-8 15. 5.x +x* -13x – 2x² +6x 16. x³ - 2x 2x³ - 3ix? +11x+(1-5i) 17. 9x³ - (18+9i)x² +x+(-2-i) 18. 2х-i x-2-i 3x + ix +9x+3i 19. 35x* + (14– 10i)x³-(7+4i)x² +2ix 20. Зx+i 7х -2i Use synthetic division to determine if the given value for k is a zero of the polynomial. If not, determine p(k). See Example 4. corresponding .2
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