Multiple choice

If $a,b$ are the roots of the quadratic equation $m^2\,-\,3m\,-\,10\,=\,0$, then the value of $ab+a+b$, is

  1. $13$
  2. $-7$
  3. $-13$
  4. $7$
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B Correct answer
Explanation

For the equation m^2 - 3m - 10 = 0, the sum of roots a+b = -(-3)/1 = 3 and the product ab = -10/1 = -10. The value of ab + a + b = -10 + 3 = -7.

AI explanation

Using Vieta's formulas for the roots of m squared minus 3m minus 10 equals 0, the sum of the roots a plus b equals 3 and the product ab equals negative 10. The expression ab plus a plus b is found by substituting these values, giving negative 10 plus 3. This equals negative 7. The value is negative 7.

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