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Question -

If f(x) = x4-2x3┬а+3x2┬атАУ ax тАУ b when divided by x тАУ 1, the remainder is 6, thenfind the value of a + b.



Answer -

f(x) = x4┬атАУ 2x3┬а+ 3x2┬атАУax тАУ b
Dividing f(x) by x тАУ 1, the remainder = 6
Now let x тАУ 1 = 0, then x = 1
тИ┤┬аf(1) = (1)4┬атАУ 2(1)3┬а+ 3(1)2┬а-ax1-b
= 1 -2 + 3-a-b = 2-a-b
тИ┤Remainder = 6
тИ┤ 2 тАУ aтАУ b = 6┬а тЗТ a + b= 2 тАУ 6 = -4
Hence a + b = -4

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