8x⁴ + 10x³ - 5x²- 4x + 1 by 2x² + x + 1
Answers
Answer:
GIVEN :
Divide the polynomial (8x⁴+10x³-5x²-4x+1) by the polynomial (2x²+x-1)
TO FIND :
The remainder and quotient for the given polynomial.
SOLUTION :
Given that divide the polynomial (8x⁴+10x³-5x²-4x+1) by the polynomial (2x²+x-1)
4x^2+3x-2
____________________
2x²+x-1 ) 8x⁴+10x³-5x²-4x+1
8x^4+4x^3-4x^2
_(-)__(-)___(+)__________
6x^3-x^2-4x
6x^3+3x^2-3x
_(-)__(-)__(+)______
-4x^2-x+1
-4x^2-2x+2
_(+)__(+)__(-)__
x-1
_____________
The quotient is 4x^2+3x-2 and remainder is x-1 when the given polynomial (8x⁴+10x³-5x²-4x+1) is divided by the polynomial (2x²+x-1).