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)

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. $(x+9)(x+4)$
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Solution

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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 \((x - 9)(x + 4)\).

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