Question

(X-2)(x-p) =x²-ax+6 find a-p

Answer 1

$(x - 2)(x - p) = {x}^{2} - ax + 6 \\ {x}^{2} - (p + 2)x + 2p = {x}^{2} - ax + 6 \\ on \: comparison \: \\ 2p = 6 \\ p = 3 \\ and \: p + 2 = a \\ a = 3 + 2 = 5 \\ now \\ a - p \\ = 5 - 3 = 2$

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