Questions: What is the factorization of the polynomial below?
x^2-5x-36
A. (x-9)(x+4)
B. (x+9)(x-4)
C. (x-9)(x-4)
D. (x+9)(x+4)
Transcript text: 5.8.3 Test (CST): Polynomial Functions
Question 9 of 20
What is the factorization of the polynomial below?
\[
x^{2}-5 x-36
\]
A. $(x-9)(x+4)$
B. $(x+9)(x-4)$
C. $(x-9)(x-4)$
D. $(x+9)(x+4)$
Solution
Solution Steps
Step 1: Identify the Degree of the Polynomial
The given polynomial has a degree of 2, which is determined by the highest power of \(x\).
Step 2: No GCF found other than 1.
Step 3: Factorizing Quadratic Polynomial
The roots are \(x = 9\) and \(x = -4\).
Final Answer: The factored form is \((x - 9)(x + 4)\).