Question

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

Answer 1

Step-by-step explanation:

Since, (x + a) is a factor of f(x), so,

$f( - a) = 0$

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

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

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

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