Question

Obtain all zeroes of the polynomial f(x)=2x^4-2x^3-7x^2+3x+6,if its zeroes are √3/2,-√3/2

Answer 1

Step-by-step explanation:

(x-√3/2)(x+√3/2)=x²-3/2

g(x)=x²-3/2

p(x)=2x^4-2x³-7x²+3x+6

then q(x)=2x²-2x-4

⇒2x²-2x-4=2x²+2x-4x-4=2x(x+1)-4(x+1)=(2x-4)(x+1)

⇒2x-4=0 or ⇒ x+1=0

⇒x=2 or ⇒ x= -1