Question 985478
1.Find the value of k for ehich x^3-2x^2+4x+k has a remainder of -7 when divided by x-1.
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That's just like 2 below:
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2. Find k so that tge remainders is 0 when -x^3+4x^2+kx-2 is divided by x-1.
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Change sign of -1 in x-1 to +1.  Do synthetic division

1 | -1  4   k   -2
  |<u>    -1   3  k+3</u>
    -1  3 k+3  k+1

Set remainder k+1 equal to 0 and solve:

k+1 = 0
  k = -1
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3. Write a polynomial equation with roots -4,-1, and 6.
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  x = -4     x = -1      x = 6
x+4 = 0    x+1 = 0     x-6 = 0

     (x+4)(x+1)(x-6) = 0

      (x²+5x+4)(x-6) = 0 

x³-6x²+5x²-30x+4x-24 = 0

        x³-x²-26x-24 = 0
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4. Write a polynomial equation with roots -2,3, and 5
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That's just like 3 above.

Edwin</pre>