what must be subtracted from4x^4-2x^3-6x^2+x+5 so that the result is exactly divisible by 2x^2+3x-2
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Answer:
The given expression is
x
4
+2x
3
−2x
2
+4x+6
The divisor is
x
2
+2x−3
Use long division method to divide the given expression by
x
2
+2x−3
x
4
+2x
3
−2x
2
+4x+6=x
2
+1+
x
2
+2x−3
2x+9
The remainder is 2x+9. It means if we subtract (2x+9) from given expression, then it is exactly divisible by x
2
+2x−3.
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