5u^4 + 16u^3 - 15u^2 + 8u + 16 / u + 4
Solution = 5u^3 - 4u^2 + u + 4
Steps:
5u^4 + 16u^3 - 15u^2 + 8u + 16 / u + 4
Use the rational Root Theorem:
a/o = 16
a/n = 5
The dividers of a/o: 1, 16, 2, 4, 8
The dividers of a/n: 1, 5
Therefore check the following Rational Numbers:
+/- 1, 16, 2, 4, 8 / 1, 5
- 4 / 1 is a root of thye expression, So Factor out u + 4:
Compute:
5u^4 + 16u^3 - 15u^2 + 8u + 16 / u + 4, to get the rest of the equation: 5u^3 - 4u^2 + u + 4 = ( u + 4) (5u^3 - 4u^2 + u + 4 ) / u + 4
Cancel the Common Fact, you answer u + 4:
Hence, your answer is, 5u^3 - 4u^2 + u + 4
Hope that helps!!!!! : )
