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TROY factored the following trinomial. Find the error in his work and why it's an error.

a) Missing coefficients
b) Wrong order of terms
c) Incorrect sign in the factors
d) No error in the factoring

1 Answer

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Final answer:

The error in TROY's factoring is incorrect sign in the factors. Factors of a trinomial should have opposite signs to maintain the middle term's sign. Hence the correct answer is option C

Step-by-step explanation:

The error in TROY's factoring is Incorrect sign in the factors.

Factors of a trinomial should have opposite signs to maintain the middle term's sign. If we have a positive middle term, one factor should be positive and the other should be negative, and vice versa. However, TROY might have made a mistake and factored the trinomial with incorrect signs in the factors.

For example, let's consider the trinomial 2x^2 - 5x + 3. The correct factoring would be (2x - 1)(x - 3), where the signs in the factors are opposite. If there were an error in the factoring, it could be (2x + 1)(x + 3), which has the incorrect signs.

Hence the correct answer is option C

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