Question

If the two zeroes of the polynomial 2x³+x²-6x -3 , if two of its zeroes are -√3 and -√3 , then its third zero is​

Answer 1

Answer: The answer is –1/2.

Step-by-step explanation:

Given polynomial, p(x) = 2x³+x²-6x -3.

We find zeroes of the polynomial so, we put p(x) = 0.

Then, 2x³+x²-6x -3 = 0

=> x² (2x +1) -3(2x +1) =0

=> (x² -3) (2x +1) = 0

Either, x²-3=0

=> x = +√3, -√3

Or, 2x +1 = 0 => x = -1/2.