Question

find all the zeros pf the polynomial if zeros are given 5x4 -5x3 -33x2 +3x +18 ;+√3/5,-√3/5​

Answer 1

Answer:(-2),(3),(-√3/5),(√3/5)

Step-by-step explanation:

As you said

X=+√3/5

( X-√3/5)=0.......(1)

X= -√3/5

(X+√3/5)=0.......(2)

From (1) and (2)

(X-√3/5)(X+√3/5)

X²-3/5 .........(using 3rd identity)

Now take LCM of x²-3/5

And you get 5x²-3 as g(x)and denominator 5 cuts off.

Now divide the equation p(x)=5x⁴-5x³-33x+3x+18 by g(x)=5x²-3

And you get q(x)=x²-x-6

Now get the factors by middle term splitting method and you get rest of the two zeroes

1.(-2) 2.(3)