We appreciate your visit to Divide the following polynomials 35 tex frac 9x 6 3 tex 36 tex frac 4x 7 2 tex 37 tex frac x 2 3x 5. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure, let's go through each of the polynomials step-by-step to understand how we arrive at the solutions:
35. Divide [tex]\((9x - 6) / 3\)[/tex]:
- Factor 3 out of the numerator: [tex]\(9x - 6 = 3(3x - 2)\)[/tex].
- Simplify: [tex]\((3(3x - 2)) / 3 = 3x - 2\)[/tex].
36. Divide [tex]\((4x - 7) / 2\)[/tex]:
- Simplify each term separately: [tex]\((4x / 2) - (7 / 2)\)[/tex].
- The result is: [tex]\(2x - \frac{7}{2}\)[/tex].
37. Divide [tex]\((x^2 - 3x + 5) / x\)[/tex]:
- Divide each term by [tex]\(x\)[/tex]: [tex]\((x^2 / x) - (3x / x) + (5 / x)\)[/tex].
- The result is: [tex]\(x - 3 + \frac{5}{x}\)[/tex].
38. Divide [tex]\((5x^2 - 25x + 2) / -5x\)[/tex]:
- Divide each term by [tex]\(-5x\)[/tex]: [tex]\((5x^2 / -5x) - (25x / -5x) + (2 / -5x)\)[/tex].
- Simplify: [tex]\(-x + 5 - \frac{2}{5x}\)[/tex].
39. Divide [tex]\((4x^{10} - 5x^9 - 20x^4) / 4x^2\)[/tex]:
- Divide each term by [tex]\(4x^2\)[/tex]: [tex]\((4x^{10} / 4x^2) - (5x^9 / 4x^2) - (20x^4 / 4x^2)\)[/tex].
- Simplify: [tex]\(x^{8} - \frac{5}{4}x^{7} - 5x^2\)[/tex].
40. Divide [tex]\((-x^6 + x^5 + 7x^2 - 9) / x^4\)[/tex]:
- Divide each term by [tex]\(x^4\)[/tex]: [tex]\((-x^6 / x^4) + (x^5 / x^4) + (7x^2 / x^4) - (9 / x^4)\)[/tex].
- Simplify: [tex]\(-x^2 + x + \frac{7}{x^2} - \frac{9}{x^4}\)[/tex].
41. Divide [tex]\((x^2 + 2x + 6) / x\)[/tex]:
- Divide each term by [tex]\(x\)[/tex]: [tex]\((x^2 / x) + (2x / x) + (6 / x)\)[/tex].
- Simplify: [tex]\(x + 2 + \frac{6}{x}\)[/tex].
42. Divide [tex]\((3x^2 - 15x + 5) / -3x\)[/tex]:
- Divide each term by [tex]\(-3x\)[/tex]: [tex]\((3x^2 / -3x) - (15x / -3x) + (5 / -3x)\)[/tex].
- Simplify: [tex]\(-x + 5 - \frac{5}{3x}\)[/tex].
43. Divide [tex]\((2x^{11} - 5x^7 - 10x^6) / 2x^3\)[/tex]:
- Divide each term by [tex]\(2x^3\)[/tex]: [tex]\((2x^{11} / 2x^3) - (5x^7 / 2x^3) - (10x^6 / 2x^3)\)[/tex].
- Simplify: [tex]\(x^8 - \frac{5}{2}x^4 - 5x^3\)[/tex].
44. Divide [tex]\((-2x^6 + 5x^5 + 9x^2 + 2) / x^4\)[/tex]:
- Divide each term by [tex]\(x^4\)[/tex]: [tex]\((-2x^6 / x^4) + (5x^5 / x^4) + (9x^2 / x^4) + (2 / x^4)\)[/tex].
- Simplify: [tex]\(-2x^2 + 5x + \frac{9}{x^2} + \frac{2}{x^4}\)[/tex].
Each division has been performed by considering each term of the polynomial individually, dividing by the denominator, and simplifying the result accordingly.
35. Divide [tex]\((9x - 6) / 3\)[/tex]:
- Factor 3 out of the numerator: [tex]\(9x - 6 = 3(3x - 2)\)[/tex].
- Simplify: [tex]\((3(3x - 2)) / 3 = 3x - 2\)[/tex].
36. Divide [tex]\((4x - 7) / 2\)[/tex]:
- Simplify each term separately: [tex]\((4x / 2) - (7 / 2)\)[/tex].
- The result is: [tex]\(2x - \frac{7}{2}\)[/tex].
37. Divide [tex]\((x^2 - 3x + 5) / x\)[/tex]:
- Divide each term by [tex]\(x\)[/tex]: [tex]\((x^2 / x) - (3x / x) + (5 / x)\)[/tex].
- The result is: [tex]\(x - 3 + \frac{5}{x}\)[/tex].
38. Divide [tex]\((5x^2 - 25x + 2) / -5x\)[/tex]:
- Divide each term by [tex]\(-5x\)[/tex]: [tex]\((5x^2 / -5x) - (25x / -5x) + (2 / -5x)\)[/tex].
- Simplify: [tex]\(-x + 5 - \frac{2}{5x}\)[/tex].
39. Divide [tex]\((4x^{10} - 5x^9 - 20x^4) / 4x^2\)[/tex]:
- Divide each term by [tex]\(4x^2\)[/tex]: [tex]\((4x^{10} / 4x^2) - (5x^9 / 4x^2) - (20x^4 / 4x^2)\)[/tex].
- Simplify: [tex]\(x^{8} - \frac{5}{4}x^{7} - 5x^2\)[/tex].
40. Divide [tex]\((-x^6 + x^5 + 7x^2 - 9) / x^4\)[/tex]:
- Divide each term by [tex]\(x^4\)[/tex]: [tex]\((-x^6 / x^4) + (x^5 / x^4) + (7x^2 / x^4) - (9 / x^4)\)[/tex].
- Simplify: [tex]\(-x^2 + x + \frac{7}{x^2} - \frac{9}{x^4}\)[/tex].
41. Divide [tex]\((x^2 + 2x + 6) / x\)[/tex]:
- Divide each term by [tex]\(x\)[/tex]: [tex]\((x^2 / x) + (2x / x) + (6 / x)\)[/tex].
- Simplify: [tex]\(x + 2 + \frac{6}{x}\)[/tex].
42. Divide [tex]\((3x^2 - 15x + 5) / -3x\)[/tex]:
- Divide each term by [tex]\(-3x\)[/tex]: [tex]\((3x^2 / -3x) - (15x / -3x) + (5 / -3x)\)[/tex].
- Simplify: [tex]\(-x + 5 - \frac{5}{3x}\)[/tex].
43. Divide [tex]\((2x^{11} - 5x^7 - 10x^6) / 2x^3\)[/tex]:
- Divide each term by [tex]\(2x^3\)[/tex]: [tex]\((2x^{11} / 2x^3) - (5x^7 / 2x^3) - (10x^6 / 2x^3)\)[/tex].
- Simplify: [tex]\(x^8 - \frac{5}{2}x^4 - 5x^3\)[/tex].
44. Divide [tex]\((-2x^6 + 5x^5 + 9x^2 + 2) / x^4\)[/tex]:
- Divide each term by [tex]\(x^4\)[/tex]: [tex]\((-2x^6 / x^4) + (5x^5 / x^4) + (9x^2 / x^4) + (2 / x^4)\)[/tex].
- Simplify: [tex]\(-2x^2 + 5x + \frac{9}{x^2} + \frac{2}{x^4}\)[/tex].
Each division has been performed by considering each term of the polynomial individually, dividing by the denominator, and simplifying the result accordingly.
Thanks for taking the time to read Divide the following polynomials 35 tex frac 9x 6 3 tex 36 tex frac 4x 7 2 tex 37 tex frac x 2 3x 5. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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