Question

If x is equals to minus 2 is zero of the polynomial polynomial is equals to x to the power 4 - 3 x to the power 2 + 22 X + a find the value of a

Answer 1

Answer:

     a = 40            

Step-by-step explanation:

We are given

Polynomial =  P(x) = x^4 - 3x² + 22x + a

Since x = -2 is the root of polynomial

Thus

                                        P(-2) = 0

 ⇒  (-2)^4 - 3(-2)² + 22(-2) + a = 0

 ⇒                   16 - 12 - 44 + a = 0

 ⇒                           4 - 44 + a = 0

 ⇒                              - 40 + a = 0    

 ⇒                                        a = 40        

So the value of a is 40.