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what is the valus of p for which polynomial x 3 +4x 2 -px+8 is exactly divisible by x-2 ?

what is the valus of p for which polynomial x3+4x2-px+8 is exactly divisible by x-2 ?

Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
Hello Student.

x-2 is the factor of f(x)=x3+4x2-px+8
so, f(2)=0
=>p=16
Thanks,
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