Multiple choice

Say true or false: $-3$ and $1$ are the roots of the equation $ 2^{2} + 2x + 2 = 0$.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Substituting x = -3 into 2x^2 + 2x + 2 gives 2(9) - 6 + 2 = 14, not 0. Substituting x = 1 gives 2 + 2 + 2 = 6, not 0. Therefore, the statement is false.

AI explanation

Assuming the intended equation is x^2 + 2x + 2 = 0, we use the roots test by substituting the given values into the polynomial. Substituting x = -3 yields (-3)^2 + 2(-3) + 2 = 9 - 6 + 2 = 5, which is not zero. Additionally, substituting x = 1 gives 1^2 + 2(1) + 2 = 5, which is also not zero. Therefore, neither value is a root of the equation, making the statement false.

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