Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by 2x – x + 1.
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Given : the polynomial
To find : What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by
Solution :
Let g(x) be
By applying division algorithm:
Dividend = Quotient× Divisor + Remainder
Dividend - Remainder = Quotient× Divisor
Now find the remainder when is divisible by .
Therefore has to be subtracted so that resulting polynomial is divisible by
HOPE IT'S HELPFULLY ^_^ ^_^
To find : What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by
Solution :
Let g(x) be
By applying division algorithm:
Dividend = Quotient× Divisor + Remainder
Dividend - Remainder = Quotient× Divisor
Now find the remainder when is divisible by .
Therefore has to be subtracted so that resulting polynomial is divisible by
HOPE IT'S HELPFULLY ^_^ ^_^
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