Question

If x+2 is a factor of x3 +2ax2 +ax-1 then the value of a is

Answer 1

$Let \: p(x) = x^{3} + 2ax^{2} +ax-1$

$If \: (x+2) \:is \:a \: factor \: of \:p(x) \:then \\remainder \: p(-2) = 0$

$\implies (-2)^{3} +2a(-2)^{2} + a(-2) - 1 = 0$

$\implies -8 + 8a -2a - 1 = 0$

$\implies 6a = 9$

$\implies a = \frac{9}{6}$

$\implies a = \frac{3}{2}$

Therefore.,

$\red{ Value \:of \: 'a '} \green { = \frac{3}{2} }$

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Answer 2

Answer:

ur answer is 3/2

Step-by-step explanation:

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