Find the value of m. If (x + 4) is a factor of the polynomial $x^{2} + 3 x + m$ .

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Solution

$x + 4$ is factor of $x^{2} + 3 x + m$
$x + 4 = 0 x = - 4$ is zero of polynomial
Put it in polynomial
$(- 4)^{2} + 3 (- 4) + m = 0 16 - 12 + m = 0 m = - 4$

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