Question
Factor the trinomial completely.
x squared minus 2 x plus 7
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
x squared minus 2 x plus 7 equals
enter your response here (Factor completely.)
B.
The polynomial is prime.
x squared minus 2 x plus 7
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
x squared minus 2 x plus 7 equals
enter your response here (Factor completely.)
B.
The polynomial is prime.
Answers
GPT-4o mini
To factor the trinomial \(x^2 - 2x + 7\), we first look for two numbers that multiply to \(7\) (the constant term) and add up to \(-2\) (the coefficient of the linear term).
However, there are no such real numbers that fulfill both conditions. Thus, the trinomial cannot be factored into real numbers and must be categorized as prime.
The final answer is:
**B. The polynomial is prime.**
However, there are no such real numbers that fulfill both conditions. Thus, the trinomial cannot be factored into real numbers and must be categorized as prime.
The final answer is:
**B. The polynomial is prime.**