If 4sqrt3x²+5x-2sqrt3=(Ax+2)(Bx+C), , then what is the value of (A + B + C)? (A > 0)

If 4sqrt3x²+5x-2sqrt3=(Ax+2)(Bx+C), , then what is the…

If ${{4\sqrt3x^2+5x-2\sqrt3=(Ax+2)(Bx+C),}}$ , then what is the value of (A + B + C)? (A > 0)

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 4.

${{4\sqrt3x^2+5x-2\sqrt3=(Ax+2)(Bx+C),}}$

⇒ 4 $\sqrt3$ x² + 8x - 3x - 2 $\sqrt3$ = (Ax + 2)(Bx + C)

⇒ 4x( $\sqrt3$ + 2) - $\sqrt3$ ( $\sqrt3$ + 2) = (Ax + 2)(Bx + 2)

$(\sqrt3+2)(4x-\sqrt3)=(Ax +2)(Bx+C)$

Comparison on Both side

A = $\sqrt3$

B = 4

C = - $\sqrt3$

So, the value of A + B + C = 4