Question

solve it on copy with full steps.

q;-
obtain all zeroes of (3x^4-15x^3+13x^2+25x-30), if two of its roots are √5/3 and -√5/3

Answer 1

Answer:

Step-by-step explanation:

Given,

f(x) = (3 x^4-15 x^3+13 x^2+25 x - 30)

if two of its roots are √5/3 and -√5/3,

g (x) = ( x - √5/3 ) * (x + √5/3) = (x² - 5/3)

x² - 5/3 ) 3 x^4-15 x^3+13 x^2+25 x - 30 (

Perform long division to get the quotient as quadratic equation

After this solve the quadratic equation to find the rest of the zeroes of the polynomial.