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What must be subtracted from x3 -3x2+4x-6 to get x2- 2x+1 |
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Answer» Step-by-step explanation: The given expression is 4 +2x 3 −2x 2 +4x+6 The divisor is x^2+2x-3x 2 +2x−3 . USE LONG division method to divide the given expression by x^2+2x-3x 2 +2x−3 . x^4+2x^3-2x^2+4x+6=x^2+1+\frac{2x + 9}{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-3x 2 +2x−3 . |
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