Question

Check whether (x+7) is a factor of (x^2+ 4x-24 ).Give reason.

Answer 1

Step-by-step explanation:

$taking \: \: \: x = - 7 \\ if \: \: \: \: f(x) = x {}^{2} + 4x - 24 = 0 \: \: \: then \: \: \: (x + 7) \: \: \: is \: \: \: its \: \: \: factor. \\ ( - 7) {}^{2} + (4 \times - 7) - 24 \\ 49 - 28 - 24 \\ 49 - 52 = - 3 \: \: \: \\ hence \: \: (x + 7) \: \: \: is \: \: not \: \: \: \: a \: \: \: factor \: \: of \: \: \: \: f(x).....$

Hope it can help......

Answer 2

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