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.
x + 3
x^2 + 1 [ x^3 + 3x^2 - 2Ax + 3 ]
x^3 + 1x
3x^2 - (2A + 1)x + 3
- (2A + 1)x
-(2A + 1) x = 5x
-(2A + 1) = 5
-2A - 1 = 5
-2A = 6
A = - 3