Find the value of p, if (2x+1) is a factor of 2x3+px3+11x+p+3
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Step-by-step explanation:
F(x) = 2x^3 +px^2 + 11x + p + 3
=> F(1/2) = 0
=> (2) (1/2)^3 + p(1/2)^2 + 11(1/2) + p + 3 = 0
=> 1/4 + p/4 + 11/2 + p + 3 = 0
=> (1+ p + 22 + 4p + 12) /4 = 0
=> 5p + 35 = 0
=> 5p = - 35
=> p = - 7
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