The zeroes of the polynomial are

Question

The zeroes of the polynomial $x^{2} - 3 x - m (m + 3)$ are

Smart Achievers · Accepted Answer

(2)

Let $p (x) = x^{2} - 3 x - m (m + 3)$

$\Rightarrow p (x) = x^{2} - (m + 3) x + m x - m (m + 3)$

$= x {x - (m + 3)} + m {x - (m + 3)}$

For zeros of $p (x)$

$\Rightarrow p (x) = (x + m) {x - (m + 3)} = 0$ $\Rightarrow x = - m, m + 3$

$∴$ Its zeros are $- m, m + 3$

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