If P(x) = x4 – 2x3 + 3x2 – ax – b when divided by (x – 1), the remainder is 6, then find the value of a + b.
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The answer is - 4.
When you divide x^4-2x^3+3x^2-ax-b by x-1 (try it) you get the remainder -(a+b)+2.
Since the remainder is already given as 6,
Therefore, -(a+b)+2=6
which gives (a+b)= - 4
When you divide x^4-2x^3+3x^2-ax-b by x-1 (try it) you get the remainder -(a+b)+2.
Since the remainder is already given as 6,
Therefore, -(a+b)+2=6
which gives (a+b)= - 4
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