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Find the value of (a) if (x+a)is a factor of x cube + ax square - 2x +a+4 |
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Answer» Answer: a = 0 Step-by-step EXPLANATION: p(x) = x^3 +ax^2 + 2x + a + 4 If (x+a) is a FACTOR of p(x), then P(-a) = 0 P(-a) = (-a)^3 + a*(-a)^2 + 2*(-a) + a + 4 = 0 -a - a^3 - 2a + a + 4 = 0 a^3 -2a +3 = 0 a = 0 |
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