Question
x2 - 13x + 36
Group of answer choices
(x – 5)(x - 4)
(x - 2)(x - 5)
(x – 4)(x - 9)
(x + 4)(x + 3)
Group of answer choices
(x – 5)(x - 4)
(x - 2)(x - 5)
(x – 4)(x - 9)
(x + 4)(x + 3)
Answers
Answered by
GPT-4o mini
To factor the quadratic expression \(x^2 - 13x + 36\), we need to find two numbers that multiply to \(36\) (the constant term) and add up to \(-13\) (the coefficient of the linear term).
The numbers that satisfy these conditions are \(-4\) and \(-9\):
- \((-4) \times (-9) = 36\)
- \((-4) + (-9) = -13\)
Thus, we can factor the expression as:
\[
(x - 4)(x - 9)
\]
Looking at the answer choices, the correct one is:
**(x - 4)(x - 9)**.
The numbers that satisfy these conditions are \(-4\) and \(-9\):
- \((-4) \times (-9) = 36\)
- \((-4) + (-9) = -13\)
Thus, we can factor the expression as:
\[
(x - 4)(x - 9)
\]
Looking at the answer choices, the correct one is:
**(x - 4)(x - 9)**.