Question

factorize 4√3x^2+5x-2√3​

Answer 1

Answer:

4x√3 + 5x - 2√3

2√3 (2x + 5x - 1)

2√3(7x - 1)

Answer 2

Answer:

x = √3/4 (or) -2/√3

Step-by-step explanation:

Given that,

Equation of polynomial p(x) = 4√3x² + 5x - 2√3

let, p(x) = 4√3x² + 5x - 2√3 = 0

⇒ 4√3x² + 5x - 2√3 = 0

( ∵ the factors of (4√3)×(-2√3) = -8(√3)² = -8×3 = -24 to get their sum as'+5' are '-3' & '+8' )

⇒ 4√3x² + 8x - 3x -2√3 = 0

⇒ 4x(√3x + 2) - √3(√3x + 2) = 0

⇒ (4x - √3)(√3x + 2) = 0

case-(1):                                  Case-(2):

          4x - √3 = 0                               √3x + 2 = 0

        ⇒ 4x = √3                                ⇒ √3x = -2

        ⇒ x = √3/4                               ⇒ x = -2/√3

∴ x = √3/4 (or) -2/√3

HOPE THIS WOULD BE HELPFUL FOR YOU