Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please help 35

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Determine the binomial factors of each polynomial.
29. x³ + x² - 4x - 4
30. x³ - x² - 49x + 49
32. x3 - 2x² - 4x + 8
33. x³ + 4x² - x - 4
37. (2x³ - x² + x + k) = (x - 1)
39. (x³ + 18x2 + kx + 4) = (x + 2)
A
26. Which binomial is a factor of the polynomial x³ + 3x² - 2x - 8?
à. x - 1
b. x + 1
C.X - 2
d. x + 2
27. Verify that x - V6 is a factor of x4 - 36.
28. Use synthetic division to find all the factors of x3 + 7x² - x - 7 if one of the
factors is x + 1.
Find the value of k so that each remainder is zero.
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41. Bicycling Matthew is cycling at a speed of
4 meters per second. When he starts down a
hill, the bike accelerates at a rate of 0.4 meter
per second squared. The vertical distance from
the top of the hill to the bottom of the hill is
1
25 meters. Use the equation d(t) = vot + at²
2
to find how long it will take Matthew to ride
down the hill.
MacBook Air
35. How many times is 2 a root of x6 - 9x4 + 24x² - 16 = 0?
36. Determine how many times -1 is a root of x3 + 2x² - x - 2 = 0. Then find the
other roots.
42. Critical Thinking Determine a and b so
that when x4 + x³ - 7x² + ax + b is divided
by (x - 1)(x + 2), the remainder is 0.
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38. (x³ - kx² + 2x - 4) = (x - 2)
40. (x³ + 4x² - kx + 1) = (x + 1)
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31. x³ - 5x² + 2x + 8
34. x³ + 3x² + 3x + 1
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