Question

A student said the factors of

m²-15m + 50 are (m +5) (m + 10)
Is the student correct? Justify and explain your answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, the student is not correct. The factors of m²-15m + 50 cannot be (m + 5) (m + 10).

To check if the student's claim is correct, we can expand the expression (m + 5) (m + 10) using the distributive property:

(m + 5)(m + 10) = m(m) + m(10) + 5(m) + 5(10) = m² + 10m + 5m + 50 = m² + 15m + 50

As we can see, the expanded expression is m² + 15m + 50, which is different from the original expression m²-15m + 50 given by the student.

Thus, the student's claim is incorrect.