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Find the value of "a" in the polynomial 2a + 2xa + 5a + 10 if (a + x) is one of its factors. |
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Answer» If a + x is a factor of polynomial P(x) then x = -a is a root of P(x). ∴ P(-a) = 0 ⇒ 2a + 2(-a)a + 5a + 10 = 0 ⇒ -2a2 + 7a + 10 = 0 ⇒ \(a = \frac{-7 \pm \sqrt{49 + 80}}{-4}\) \(= \frac{7\pm \sqrt{129}}{4}\) |
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