Question

Find the zeros of the polynomial f(x) and verify the relation
between zeros and coefficients​

Answer 1

Step-by-step explanation:

Now, 4√3x^2 + 5x - 2√3 = 0

4√3x^2 + 8x - 3x - 2√3 = 0

4x (√3x + 2) - √3 (√3x + 2) = 0

(4x - √3) or (√3x + 2) = 0

x = √3/4 or x = -2/√3

Now, sum of zeroes = √3/4 + (-2/√3)

= √3/4 - 2/√3

= 3 - 8 /4√3 ( By doing cross multiply)

= -5 / 4√3

Now, products of zeroes = √3/4 x -2/√3

= -1/2

Now, Verification :-

Here, a = 4√3, b = 5 and c = -2√3

Now,

Alpha + Beta = -b/a

= -5/4√3

Alpha x Beta = c/a

= -2√3/4√3

= -1/2

Hence, Verified.

Please mark it as the Brainliest answer.

Answer 2

→ANSWER IN ATTACHMENT*☑