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Study Guides > Precalculus I

Solutions 16: Dividing Polynomials

Solutions to Try Its

1. [latex]4{x}^{2}-8x+15-\frac{78}{4x+5}[/latex] 2. [latex]3{x}^{3}-3{x}^{2}+21x - 150+\frac{1,090}{x+7}[/latex] 3. [latex]3{x}^{2}-4x+1[/latex]

Solutions to Odd-Numbered Exercises

1. The binomial is a factor of the polynomial. 3. [latex]x+6+\frac{5}{x - 1}\text{,}\text{quotient:}x+6\text{,}\text{remainder:}\text{5}[/latex] 5. [latex]3x+2\text{,}\text{ quotient: }3x+2\text{, }\text{remainder: 0}[/latex] 7. [latex]x - 5\text{,}\text{quotient: }x - 5\text{,}\text{remainder: }\text{0}[/latex] 9. [latex]2x - 7+\frac{16}{x+2}\text{,}\text{quotient: }\text{ }2x - 7\text{,}\text{remainder: }\text{16}[/latex] 11. [latex]x - 2+\frac{6}{3x+1}\text{,}\text{quotient: }x - 2\text{,}\text{remainder: }\text{6}[/latex] 13. [latex]2{x}^{2}-3x+5\text{,}\text{quotient:}2{x}^{2}-3x+5\text{,}\text{remainder: }\text{0}[/latex] 15. [latex]2{x}^{2}+2x+1+\frac{10}{x - 4}[/latex] 17. [latex]2{x}^{2}-7x+1-\frac{2}{2x+1}[/latex] 19. [latex]3{x}^{2}-11x+34-\frac{106}{x+3}[/latex] 21. [latex]{x}^{2}+5x+1[/latex] 23. [latex]4{x}^{2}-21x+84-\frac{323}{x+4}[/latex] 25. [latex]{x}^{2}-14x+49[/latex] 27. [latex]3{x}^{2}+x+\frac{2}{3x - 1}[/latex] 29. [latex]{x}^{3}-3x+1[/latex] 31. [latex]{x}^{3}-{x}^{2}+2[/latex] 33. [latex]{x}^{3}-6{x}^{2}+12x - 8[/latex] 35. [latex]{x}^{3}-9{x}^{2}+27x - 27[/latex] 37. [latex]2{x}^{3}-2x+2[/latex] 39. [latex]\left(x - 1\right)\left({x}^{2}+2x+4\right)[/latex] 41. [latex]\left(x - 5\right)\left({x}^{2}+x+1\right)[/latex] 43. [latex]\text{Quotient: }4{x}^{2}+8x+16\text{,}\text{remainder: }-1[/latex] 45. [latex]\text{Quotient: }3{x}^{2}+3x+5\text{,}\text{remainder: }0[/latex] 47. [latex]\text{Quotient: }{x}^{3}-2{x}^{2}+4x - 8\text{,}\text{remainder: }-6[/latex] 49. [latex]{x}^{6}-{x}^{5}+{x}^{4}-{x}^{3}+{x}^{2}-x+1[/latex] 51. [latex]{x}^{3}-{x}^{2}+x - 1+\frac{1}{x+1}[/latex] 53. [latex]1+\frac{1+i}{x-i}[/latex] 55. [latex]1+\frac{1-i}{x+i}[/latex] 57. [latex]{x}^{2}-ix - 1+\frac{1-i}{x-i}[/latex] 59. [latex]2{x}^{2}+3[/latex] 61. [latex]2x+3[/latex] 63. [latex]x+2[/latex] 65. [latex]x - 3[/latex] 67. [latex]3{x}^{2}-2[/latex]

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  • Precalculus. Provided by: OpenStax Authored by: Jay Abramson, et al.. Located at: https://openstax.org/books/precalculus/pages/1-introduction-to-functions. License: CC BY: Attribution. License terms: Download For Free at : http://cnx.org/contents/[email protected]..