what should be added in the polynomial x cube + 2 x square - 9 X + 1 so that it is completely divisible by X + 4
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Answered by
131
P(x) = x^3 + 2x^2 - 9x +1
By Remainder theoram
If P(x) is divided by (x+4)
P(-4) = (-4)^3 + 2(-4)^2 - 9(-4) + 1
Remainder = - 64 + 32 + 36 +1
Remainder = 5
The number to be added to P(x) = 5
By Remainder theoram
If P(x) is divided by (x+4)
P(-4) = (-4)^3 + 2(-4)^2 - 9(-4) + 1
Remainder = - 64 + 32 + 36 +1
Remainder = 5
The number to be added to P(x) = 5
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12
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