Question

If x² − 3x + 2 = 0, what is the product of the roots?

• A. 1
• B. 2
• C. 3
• D. 4

Hint:

For quadratic equations, use product of roots = \frac{c}{a}.

Answer 1

The Correct Option is B

To find the product of the roots of the quadratic equation \(x^2 - 3x + 2 = 0\), 
we use Viète's formulas, which relate the coefficients of a polynomial to sums and products of its roots. 
For a quadratic equation of the form \(ax^2 + bx + c = 0\), 
the product of the roots (\(P\)) is given by:

\[P = \frac{c}{a}\]

Here, \(a = 1\), \(b = -3\), and \(c = 2\).

Substitute these values into the formula:

\[P = \frac{2}{1} = 2\]

Thus, the product of the roots is 2.