If $α$ and $β$ are the zeros of the polynomial $(x - p) (x - q) - r$ , then $p$ and $q$ would be the zeros of the polynomial

(x - α) (x - β) - r

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(x - α) (x - β) + r

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(x + α) (x + β) - r

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(x + α) (x + β) + r

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Solution

The correct option is B $(x - α) (x - β) - r$
if $α, β$ are zeros of polynomial then
$(x - p) (x - q) - r$ _____ (1)
then if follow the equation
$\Rightarrow (α - p) (β - p) - r$ _ (2)
equation (2) can be written as
$(p - α) (q - β) - r$ ____ (2)
From equation (3) it seems that p & q
are roots of equation (2)
$[(x - α) (x - β) - r]$

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