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Question

What must be subtracted from x4+2x23x+7 to get x3+x2+x1?

A
x4x3+x24x+8
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B
x3+x24x+8
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C
x4x3+x2+4x8
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D
x4x3x2+4x8
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Solution

The correct option is A x4x3+x24x+8
Let the polynomial to be subtracted be a

(x4+2x23x+7)a=(x3+x2+x1)
a=(x4+2x23x+7)(x3+x2+x1)
=x4x3+(21)x2(3+1)x+(7+1)
=x4x3+x24x+8
Polynomial to be subtracted is x4x3+x24x+8

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