Question 177074
When x^3+cx+d is divided by x+1, the remainder is 3
So f(-1) = -1 -c + d = 3
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and when it is divided by x-2, the remainder is -3
So f(2) = 8 + 2c + d = -3
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Determine the values of c and d.
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Rearrange to get:
-c + d = 3
2c + d = -11
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Simplify:
-2c + 2d = 6
2c + d = -11
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Add to solve for "d":
3d = -5
d = -5/3
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Substitute to solve for "c":
c = d -3
c = (-5/3) - 3
c = (-5/3) - (9/3) = -14/3
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Cheers,
Stan H.