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Find the value of a such that (x+a) is a factor of polynomial f(x) =x^4 - a^2 x^2 +2xa+3pls its urgent​

Answer»

Step-by-step EXPLANATION:

SINCE, (X + a) is a FACTOR of F(x), so,

f( - a) = 0

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

=  >  {a}^{4}  -  {a}^{4}  - 2 {a}^{2}  + 3 = 0

=  >  {a}^{2}  =  \frac{3}{2}

=  > a =  \sqrt{ \frac{3}{2} }



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