Math, asked by narendramodi48291, 6 months ago

Find a if x + a is a factor of x^3+ax^2-2x+a+4

Answers

Answered by virendersingh89
1

Answer:

a= -4/3

Step-by-step explanation:

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Answered by bhavyasri20
1

Answer:

-4/3

Step-by-step explanation:

given, x+a is factor of polynomial x^3+ax^2-2x+a+4.

x+a=0,then x=-a

hence,-a is the zero of the given polynomial

p(-a)=(-a)^3+a(-a)^2-2(-a)+a+4=0

=>(-a)^3+a(a)^2+2a+a+4=0

=>(-a)^3+(a)^3+3a+4=0

=>3a+4=0

=>3a=-4

=>a=-4/3

therefore:-a=-4/3

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