Question

find a if x+a is a factor of x³+ax²-2x+9+4​

Answer 1

Answer:

$x^3+ax^2-2x+a+4$

$Must \:be \:divisible\: by\: x+a$

$so,$

$\frac{x3+ax2−2x+a+4}{x+a}$

$=>\:x^2–2\: is \:quotient \:and\: (a+4)-(-2a)\: is \:remainder$

$But\: the \:polynomial \:is\: divisible \:so\: the \:remainder \:should\: be\: 0$

$Thus\: , \:(a+4)-(-2a)=0$

$=>\:(a+4+2a)=0$

$=>\:3a+4=0$

$=>\:a= -4/3$

Answer 2

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