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2 x cube minus 5 x square + 3 X + b is equals to zero
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Given:
x = 2 and x = 0
=> p(2) = 2(2)^3 - 5(2)^2 + p(2) + b
=> 2*8 - 5*4 + 2p + b = 0
=> 16 - 20 + 2p + b = 0
=> -4 + 2p + b = 0 -------------------------equation (1)
Also, p(0) = 2(0)^3 - 5(0)^2 + p(0) + b
=> b = 0 --------------------------------equation (2)
Now, putting equation (2) in equation (1)
We get, -4 + 2p + 0 = 0
=> 2p = 4
=> p = 4/2
=> p = 2
Hence, p = 2 and b = 0.
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