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A polynomial function P(x) is defined as,
P(x) = 4x3 – 2x2
If P (z -2) =0 & z ≠ 2, find the value of z?
  • a)
    -3/2
  • b)
    +1/2
  • c)
    1
  • d)
    +5/2
  • e)
    +7/2
Correct answer is option 'D'. Can you explain this answer?

Answers

P(X)=4xcube-2xsquare.
P(z-2)=0
P(X)=P(z-2)
4xcube-2xsqauare=0
X=.5
.5=z-2
z=2.5

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P(X)=4xcube-2xsquare.P(z-2)=0P(X)=P(z-2)4xcube-2xsqauare=0X=.5.5=z-2z=2.5