Divide 6x²-x²+9x+2 by (2x+1)and verify the division rule
Answers
Remainder = - 5/4 if 6x²-x²+9x+2 is divided by (2x+1)
Step-by-step explanation:
6x²-x²+9x+2 = 5x² + 9x + 2
5x/2 + 13/4
_____________
2x + 1 _| 5x² + 9x + 2 |_
5x² + 5x/2
___________
13x/2 + 2
13x/2 + 13/4
___________
-5/4
______
Remainder = -5/4
2x + 1 => x = -1/2
f(-1/2) = 5(-1/2)² + 9(-1/2) + 2
= 5/4 - 9/2 + 2
= (5 - 18 + 8)/4
= -5/4
Remainder = - 5/4
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