Question

If -1, -2 are two zeros of a polynomial \(2x^3 + ax^2 + bx - 2\), then the values of \(a\) and \(b\) are

• A. 2, -1
• B. -5, -1
• C. 5, 1
• D. -2, -1

Hint:

Use Vieta's formulas for finding the sum and product of the roots of polynomials.

Answer 1

The Correct Option is D

If -1 and -2 are zeros of the polynomial, we can use Vieta's formulas to find the values of \(a\) and \(b\). By the relation of the sum and product of roots, we can determine:
- The sum of the roots is \(-\frac{a}{2}\), and the sum of the roots is \(-1 + (-2) = -3\). So, \(a = -2\).
- The product of the roots is \(-\frac{-2}{2} = 1\), which gives \(b = -1\).
Thus, the correct answer is option (4).