Practice Exercises In Exercises 1-12, divide the polynomial by the monomial. (1.) 5x325x7−15x5+10x3​ 2. 7x349x7−28x5+14x

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Practice Exercises In Exercises 1 12 Divide The Polynomial By The Monomial 1 5x325x7 15x5 10x3 2 7x349x7 28x5 14x 1 (34.93 KiB) Viewed 36 times

Practice Exercises In Exercises 1 12 Divide The Polynomial By The Monomial 1 5x325x7 15x5 10x3 2 7x349x7 28x5 14x 2 (43.88 KiB) Viewed 36 times

Practice Exercises In Exercises 1 12 Divide The Polynomial By The Monomial 1 5x325x7 15x5 10x3 2 7x349x7 28x5 14x 3 (21.26 KiB) Viewed 36 times

Practice Exercises In Exercises 1 12 Divide The Polynomial By The Monomial 1 5x325x7 15x5 10x3 2 7x349x7 28x5 14x 4 (27.27 KiB) Viewed 36 times

Practice Exercises In Exercises 1 12 Divide The Polynomial By The Monomial 1 5x325x7 15x5 10x3 2 7x349x7 28x5 14x 5 (38.75 KiB) Viewed 36 times

Practice Exercises In Exercises 1 12 Divide The Polynomial By The Monomial 1 5x325x7 15x5 10x3 2 7x349x7 28x5 14x 6 (8.69 KiB) Viewed 36 times

Practice Exercises In Exercises 1 12 Divide The Polynomial By The Monomial 1 5x325x7 15x5 10x3 2 7x349x7 28x5 14x 7 (32.77 KiB) Viewed 36 times

Practice Exercises In Exercises 1-12, divide the polynomial by the monomial. (1.) 5x325x7−15x5+10x3​ 2. 7x349x7−28x5+14x3​ 3. 3x18x3+6x2−9x−6​ 4. 5x25x3+50x2−40x−10​ 5. (28x3−7x2−16x)÷(4x2) 6. (70x3−10x2−14x)÷(7x2) 7. (25x8−50x7+3x6−40x5)÷(−5x5) 8. (18x7−9x6+20x5−10x4)÷(−2x4) 9. (18a3b2−9a2b−27ab2)÷(9ab)
In Exercises 13-36, divide as indicated. Check at least five of your answers by showing that the product of the divisor and the quotient, plus the remainder, is the dividend. 13. (x2+8x+15)÷(x+5) 14. (x2+3x−10)÷(x−2) 15. (x3−2x2−5x+6)÷(x−3) 16. (x3+5x2+7x+2)÷(x+2) 17. (x2−7x+12)÷(x−5) 18. (2x2+x−9)÷(x−2) 19. (2x2+13x+5)÷(2x+3) 20. (8x2+6x−25)÷(4x+9) 21. (x3+3x2+5x+4)÷(x+1) 22. (x3+6x2−2x+3)÷(x−1) 23. (4y3+12y2+7y−3)÷(2y+3) 24. (6y3+7y2+12y−5)÷(3y−1) 25. (9x3−3x2−3x+4)÷(3x+2)
29. (4y3−5y)÷(2y−1) 30. (6y3−5y)÷(2y−1) 31. (4y4−17y2+14y−3)÷(2y−3) 32. (2y4−y3+16y2−4)÷(2y−1) 33. (4x4+3x3+4x2+9x−6)÷(x2+3)
41. x+yx4+y4​ 42. x+yx5+y5​ 43. x2+x+23x4+5x3+7x2+3x−2​ 44. x2−3x−2x4−x3−7x2−7x−2​ 45. x2+x+14x3−3x2+x+1​ 46. x2+x+1x4−x2+1​ 47. x2−x+2x5−1​
6.5 EXERCISE SET MyMathLab Practice Exercises In Exercises 1-18, divide using synthetic division. In the first two exercises, begin the process as shown. 1. (2x2+x−10)÷(x−2) 2 21−10 2. (x2+x−2)÷(x−1)1 ل 11−2 3. (3x2+7x−20)÷(x+5) 4. (5x2−12x−8)÷(x+3) 5. (4x3−3x2+3x−1)÷(x−1) 6. (5x3−6x2+3x+11)÷(x−2) 7. (6x5−2x3+4x2−3x+1)÷(x−2) 8. (x5+4x4−3x2+2x+3)÷(x−3) 9. (x2−5x−5x3+x4)÷(5+x) 10. (x2−6x−6x3+x4)÷(6+x) 11. (3x3+2x2−4x+1)÷(x−31​)
x−4x4−256​
In Exercises 27-32, use synthetic division to show that the number given to the right of each equation is a solution of the equation. Then solve the polynomial equation. 27. x3−4x2+x+6=0;−1 28. x3−2x2−x+2=0;−1 29. 2x3−5x2+x+2=0;2 30. 2x3−3x2−11x+6=0;−2 31. 6x3+25x2−24x+5=0;−5