An important question from factorisation chapter in which we have been asked to find the value of p and factorise completly, if x-2 is a factor of 2×3-x2-px-2
ML Aggarwal Avichal Publication, Factorisation, chapter 6 question no 20
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if (x-2) is a factor the x-2 = 0 that is x=2
substitute in given equation
f(x)= 2x^3 – x^2 – px – 2
x=2, 2×8 – 4 – 2p – 2 = 0
16-4-2p -2 =0
10-2p=0
2p=10
p=5