Question

Find the zero of the polynomial x^2-3and relationship between the zero and the cofficent

Answer 1

Hiii friend,

P(X) = X²-3

=>(X)² - (✓3)²


=> (X+✓3) (X-✓3) = 0

=>(X+✓3) = 0 OR (X-✓3) = 0

=> X = -✓3 OR X = ✓3

-✓3 and ✓3 are the two zeros of the polynomial X²-3


Let Alpha = -✓3 and beta = ✓3


Relationship between the zeros and tne the coefficient.


Sum of Zeros = (Alpha + Beta ) = (-✓3+✓3) = 0 = Coefficient of X/Coefficient of X².


Product of zeros = (Alpha × Beta) = (-✓3×✓3) = 3/1 = Constant term/Coefficient of X².




HOPE IT WILL HELP YOU...... :-)