Question

find the zeros of the polynomial f of x is equal to root 3 X square + 5 x minus 8 root 3 and verify the relationship between the zeros and its coefficient​

Answer 1

√3x^2 + 5x - 8√3 = 0

√3x^2 + 8x - 3x - 8√3 = 0

x(√3x+8) - √3(√3x+8) = 0

(√3x+8) ( x-√3) = 0

x = -8/√3 , √3

Sum of the zeroes = -8/√3 + √3 = -5/√3

-5/√3 = -5/√3

Product of the zeroes = -8/√3 × √3 = -8√3/√3

-8 = -8

Answer 2

√3x^2+5x-8√3 =0

√3x^2+8x-3x-8√3=0

x(√3x+8)-√3(√3x+8)=0

(√3x+8)(x-√3)=0

x=-8/√3,√3

Sum of the zeroes= -8/√3+√3=-5/√3

= -5/√3=-5/√3

Product of the zeroes=-8/√3×√3=-8√3/√3-8=-8.... ..........

Hope it helps you. ......