1.

Find the value of 'a', if(x+a) is a factor of the polynomial x^3+ ax^2- 2x+a+4​

Answer»

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

x+a = 0

x = -a

When we PUT VALUE '-a' at the PLACE of 'x'

we get,

p(x)=x^3+ax^2-2x+a+4\\\\p(-a)=(-a)^3+a(-a)^2-2\times(-a)+a+4=0\\\\\implies-a^3+a^3+2a+a+4=0\\\\\implies2a+a+4=0\\\\\implies3a+4=0\\\\\implies3a=-4\\\\\implies\boxed{\bold{a=-\dfrac{3}{4}}}

THEREFORE the value of 'a' is -3/4


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