Question

Select the correct answer from the drop-down menu. Find the polynomial.

(-1/3, 4) is the solution set of ____

A. 3x^2-11x+4=0

B. 3x^2-11x - 4=0

C. 1/3x^2-11x - 4=0

D. -1/x^2-11x - 4=0

Answer 1

The right choice is B. 3x^2-11x - 4=0

Explanation:

Let's solve your equation step-by-step.

3x²−11x−4=0

Step 1: Factor left side of equation.

(3x+1) (x−4) = 0

Step 2: Set factors equal to 0.

3x + 1=0 or x− 4=0

x = −1 /3 or x = 4

Answer 2

The answer is (B) ⇒ 3x² - 11x - 4 = 0

Explanation:

∵ 3x² - 11x - 4 = 0

∴ (3x + 1)(x - 4) = 0

∴ 3x + 1 = 0 ⇒ 3x = -1 ⇒ x = -1/3

∴ x - 4 = 0 ⇒ x = 4

∴ The solution set of the polynomial is { -1/3 , 4 }