Multiple choice

Select the correct option. If one of the zeroes of the quadratic polynomial $x^2 + 3x + k $ is $2$, then the value of $k$ is

  1. $10$
  2. $-10$
  3. $-7$
  4. $-2$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If 2 is a zero, then f(2) = 0. So 2^2 + 3(2) + k = 0, which is 4 + 6 + k = 0, so k = -10.

AI explanation

Since 2 is a zero of the quadratic polynomial x² + 3x + k, it must satisfy the equation. Substituting x = 2 into the equation gives 2² + 3(2) + k = 0. Simplifying this yields 4 + 6 + k = 0, which means 10 + k = 0. Solving for k gives the value as -10.

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