Question

find the zeroes of polynomial √3x2+5x-8√3 and verify relationship between zeroes and it's coefficient​

Answer 1

Given

• √3 x² + 5x -8√3

To find

• Verify Relationship between zeroes and Coefficient

Solution

√3 x² + 5x -8√3

=>√3x²+8x-3x-8√3

=X(√3x+8)-√3(√3x+8)

=(√3x+8) (x-√3)

Let A and B be the zeroes of the given polynomial

Then

A+B = -b/a

=> -5/√3 = -( Coefficient of X) / Coefficient of x²

&

AB = c/a

-8√3/√3 = -8 = - (constant term ) / (Coefficient of x²)

Verified the relationship