Concept Check 10. x-5x+x-4, x-1 In Exercises 1 to 4, determine whether the given division can be performed using synthetic division. P(x). 11. 2x+5x-6x + 4x +3, 2x-x+1 1. (+ 2x-5x + 3) + (x- 2) 12. 3x + x-5x + 2, x-2x + 2 2. (2x-3x+ 6x - 5) (x + 3) 13. 2x -x+ 5x-9x + 6, 2x+ 2x-3 der in the division 3. (x-x-3) + (x² + 1) 14. x + 3x- 2x- 7x-x+ 4, +1 ( -) * (x + 8) + (x +8) 4. In Exercises 15 to 28, use synthetic division to divide the first polynomial by the second. r is 5. If a polynomial P(x) is divided by (x- 4) and the remainder is 7, then what do we know about P(4)? 15. 4x -5x + 6x-7, x- 2 16. 5x + 6x²-8x + 1, x- 5 6. If (x- 3) is a factor of the polynomial P(x), then what do we know about P(3)? 17. 4x. 2x + 3, x + 1 and only In Exercises 7 to 14, use long division to divide the first polynomial by the second. 18. 6x -4x + 17, x +3 7. 5x + 6x- 17x +20, x + 3 19. x - 10x + 5x- 1, x - 4 8. 6x+15x2 - 8x + 2, x + 4 20. 6x* - 2x- 3x - x, x- 5 2 - x + 20 9. x- 5x2 + 3x - 1, x-2 21. x- 1, x- 1 us 22. x* + 1, x+ 1 Indicates Try It Exercises

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Chapter4: Polynomial And Rational Functions
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Concept Check
10. x-5x+x-4, x-1
In Exercises 1 to 4, determine whether the given division
can be performed using synthetic division.
P(x).
11. 2x+5x-6x + 4x +3, 2x-x+1
1. (+ 2x-5x + 3) + (x- 2)
12. 3x + x-5x + 2, x-2x + 2
2. (2x-3x+ 6x - 5) (x + 3)
13. 2x -x+ 5x-9x + 6, 2x+ 2x-3
der in the division
3. (x-x-3) + (x² + 1)
14. x + 3x- 2x- 7x-x+ 4, +1
( -) * (x + 8)
+ (x +8)
4.
In Exercises 15 to 28, use synthetic division to divide the
first polynomial by the second.
r is
5. If a polynomial P(x) is divided by (x- 4) and the remainder
is 7, then what do we know about P(4)?
15. 4x -5x + 6x-7, x- 2
16. 5x + 6x²-8x + 1, x- 5
6. If (x- 3) is a factor of the polynomial P(x), then what do we
know about P(3)?
17. 4x.
2x + 3, x + 1
and only
In Exercises 7 to 14, use long division to divide the first
polynomial by the second.
18. 6x -4x + 17, x +3
7. 5x + 6x- 17x +20, x + 3
19. x - 10x + 5x- 1, x - 4
8. 6x+15x2 - 8x + 2, x + 4
20. 6x* - 2x- 3x - x, x- 5
2 - x + 20
9. x- 5x2 + 3x - 1, x-2
21. x- 1, x-
1
us
22. x* + 1, x+ 1
Indicates Try It Exercises
Transcribed Image Text:Concept Check 10. x-5x+x-4, x-1 In Exercises 1 to 4, determine whether the given division can be performed using synthetic division. P(x). 11. 2x+5x-6x + 4x +3, 2x-x+1 1. (+ 2x-5x + 3) + (x- 2) 12. 3x + x-5x + 2, x-2x + 2 2. (2x-3x+ 6x - 5) (x + 3) 13. 2x -x+ 5x-9x + 6, 2x+ 2x-3 der in the division 3. (x-x-3) + (x² + 1) 14. x + 3x- 2x- 7x-x+ 4, +1 ( -) * (x + 8) + (x +8) 4. In Exercises 15 to 28, use synthetic division to divide the first polynomial by the second. r is 5. If a polynomial P(x) is divided by (x- 4) and the remainder is 7, then what do we know about P(4)? 15. 4x -5x + 6x-7, x- 2 16. 5x + 6x²-8x + 1, x- 5 6. If (x- 3) is a factor of the polynomial P(x), then what do we know about P(3)? 17. 4x. 2x + 3, x + 1 and only In Exercises 7 to 14, use long division to divide the first polynomial by the second. 18. 6x -4x + 17, x +3 7. 5x + 6x- 17x +20, x + 3 19. x - 10x + 5x- 1, x - 4 8. 6x+15x2 - 8x + 2, x + 4 20. 6x* - 2x- 3x - x, x- 5 2 - x + 20 9. x- 5x2 + 3x - 1, x-2 21. x- 1, x- 1 us 22. x* + 1, x+ 1 Indicates Try It Exercises
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