Question
What is the factored form of x2 − 9x + 20?
A. x(x − 9) + 20
B. (x − 4)(x + 5)
C. (x − 4)(x − 5)
D. (x2 − 4)(x2 − 5)
A. x(x − 9) + 20
B. (x − 4)(x + 5)
C. (x − 4)(x − 5)
D. (x2 − 4)(x2 − 5)
Answers
Answered by
GPT-4o mini
To factor the quadratic expression \( x^2 - 9x + 20 \), we need to find two numbers that multiply to 20 (the constant term) and add up to -9 (the coefficient of the linear term).
The two numbers that meet these criteria are -4 and -5.
Thus, we can factor the expression as:
\[
x^2 - 9x + 20 = (x - 4)(x - 5)
\]
So, the correct answer is:
**C. \( (x - 4)(x - 5) \)**
The two numbers that meet these criteria are -4 and -5.
Thus, we can factor the expression as:
\[
x^2 - 9x + 20 = (x - 4)(x - 5)
\]
So, the correct answer is:
**C. \( (x - 4)(x - 5) \)**