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# Help

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When the polynomial P(x) = x3 + 3x2 -2Ax + 3, where A is a constant, is divided by x2 + 1 we get a remainder equal to -5x. Find A.

I also have another, easier question.

John, Tyler, Luke, Ron, and Karan are the top 5 best players on their basketball team.

John, Tyler, Luke, Ron, and Karan altogether have scored 50 free throws, 256 two-pointers, and 130 three-pointers for the season.

John scored 20% of the free throws, 15% of the two-pointers, and 5% of the three-pointers

Tyler had a scored n% of the free throws, 30% of the two-pointers and 10% of the three-pointers

Luke scored 15% of the free throws, 16% of the two-pointers and 20% of the three-pointers.

Ron had the same percentage of scores as Luke, and Karan scored the rest.

Write the number of free throws, two-pointers, and three-pointers they scored as numbers, and round to the nearest tenths place if it's a decimal.

Jan 17, 2019

#1
+107348
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x   + 3

x^2 + 1   [ x^3 + 3x^2 - 2Ax + 3 ]

x^3             +  1x

______________________

3x^2  - (2A + 1)x  + 3

3x^2                      +3

____________________

- (2A + 1)x

So

-(2A + 1) x = 5x

-(2A + 1)  = 5

-2A  - 1  =  5

-2A = 6

A = - 3

Jan 17, 2019
#2
+38
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Thank you very much

Jan 17, 2019
#3
+11
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John score 10 ft, 38.4 2p, and 6.5 3s
Tyler scored 76,8 2p and 13 3s

Luke and Ron scored 7.5 ft, 50 2pt, and 26 threes each

Karen scored 84.5 2pt and 71.5 3s

Tyler's and Karen's ft are not possible to find as they could be any number that equals 25

Jan 18, 2019