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Question

If x=5+24, find the value of x4+9x3+35x2x+4.

A
160.
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B
80.
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C
160.
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D
80.
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Solution

The correct option is A 160.
We have, x+5=24.
Squaring, x2+10x+25=16
or x2+10x+41=0 ...(1)
divide x4+9x3+35x2x+4 by x2+10x+41
Now x4+9x3+35x2x+4=(x2+10x+41).(x2x+4)160.
Above statement is dividend = divisor × quotient + remainder
where dividend =x4+9x3+35x2x+4
divisor =x2+10x+41
By 1 now put x2+10x+41=0
Value of x4+9x3+35x2x+4=160.

Ans: A

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