The value of 'p' for which the polynomial x3+4x2-px+8 is exactly divisible by (x-2) is
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The value of 'p' for which the polynomial x3+4x2-px+8 is exactly divisible by (x-2) is
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Answer:
The value of p is 16
Solution:
Given the polynomial
For f(x) to be exactly divisible by 2, we must have by remainder and factor theorem
Since given that, (x – 2) is exactly divisible by 2.
Thus, x = 2
Substituting x=2 in the given expression, we get,
Which gives p=16
Thus, the value of p will be 16.