In Exercises 41-43, divide using synthetic division.41. (4x3 – 3x2 – 2x + 1) ÷ (x + 1)-42. (3x4 – 2x2 – 10x – 20) ÷ (x – 2)43. (x* + 16) ÷ (x + 4)

41. Given: 4x3-3x2-2x+1÷x+142. Given: 3x4-2x2-10x-20÷x-243. Given: x4+16÷x+4

Answered: In Exercises 41-43, divide using…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section: Chapter Questions

Problem 7T: Divide using synthetic division. 2x43x2+4x1x+2

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Similar questions

What does it mean to say a polynomial is in factored form?
Use synthetic division to find the quotient and remainder when 3x3+10x2+6x2 is divided by x+2 .
Using your own words, explain the difference between a polynomial with five terms and a polynomial with a degree of 5.
Divide using synthetic division. 2x43x2+4x1x+2
Find the quotient: (3x216x12)(x6) .
9. Use long division to divide. (x3 + 5x? + 10x + 80) + (x + 5) b. (x + 8) + (x + 2)
In Exercises 1-16, divide using long division. State the quotient, q(x), and the remainder, r(x). 1. (x? + &r + 15) + (x + 5) 2. (x + 3x 10) + (x – 2) 3. (x + 5x? + 7x + 2) + (x + 2) 4. (x - 2x? – 5x + 6) + (x – 3) 5. (6x + 7x? + 12x – 5) + (3x – 1) 6. (6x + 17x+ 27x + 20) + (3x + 4) 7. (12x? + x - 4) + (3x - 2) 8. (4x? - &r + 6) + (2x - 1) 2r + 7x? + 9x 9. 3x? – 2x + 5 - 20 10. x + 3 4x 4x2 + 6x X - 3 x* - 81 12. X - 3 11. x - 4 6x + 13x? 13. 3x - x - 3 x* + 2x³ 14. 11x - 15 + 2r - 4x2 - 5x – 6 - x2 + x - 2 18x* + 9x + 3x? 15. 3x + 1 2x - &x* + 2r³ + x? 16. 2x + 1
Use synthetic division
For Exercises 9-22, use long division to divide. (See Examples 1-3) 9. (3x - 11x - 10) (x - 4) 11. (8 + 30x – 27 – 12x + 4x*) = (x + 2) 13. (-20x + 6x* – 16) - (2r + 4) 10. (2r - 7 - 65) + (x - 5) 12. (-48 – 28x + 20x + 17x + 3xr) - (x + 3) 14. (-60x + &xr – 108) + (2x - 6) 15. (x* + 4x* + 1& – 20x – 10) + ( + 5) 16. (x - 2r* + x' – &r + 18) + (r - 3) 6x* + 3x - 7x + áx – 5 17. 12x - 4x + 13r + 2x + 1 18. 21 + x - 3 3 - x + 4 19. I- 3 * - 27 * + 64 20. x + 4 21. (5x - 21 + 3) (2x - 1) 22. (2x' + x* + 1) (3x + 1)

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In Exercises 41-43, divide using synthetic division. 41. (4x3 – 3x2 – 2x + 1) ÷ (x + 1) - 42. (3x4 – 2x2 – 10x – 20) ÷ (x – 2) 43. (x* + 16) ÷ (x + 4)