Multiple choice

If the product of zeroes of quadratic polynomial mx2 + 6x + (2m - 1) is -1, then find the value of m

  1. 1/3

  2. 3
    • 1/3
    • 3
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A Correct answer
Explanation

For a quadratic ax^2 + bx + c, the product of zeroes is c/a. Here, (2m - 1) / m = -1. So 2m - 1 = -m, which means 3m = 1, so m = 1/3.

AI explanation

The product of the zeroes for a quadratic polynomial is the constant term divided by the leading coefficient. For mx squared plus 6x plus the quantity 2m minus 1, this product is 2m minus 1 all divided by m. Setting this equal to negative 1 gives 2m minus 1 equals negative m. Solving this yields 3m equals 1, so m equals 1 over 3.

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