Question

question 24 of 25
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. $(x - 9)(x + 4)$

Explanation:

Step1: Find two numbers for factorization

Need two numbers: product = -36, sum = -5. The numbers are -9 and +4.

Step2: Write the factored form

The polynomial factors as $(x - 9)(x + 4)$.

Step3: Match with options

Compare with options; option D matches.

Answer:

D. $(x - 9)(x + 4)$