The factored form of the polynomial x + 5x - 36 can be found by simplifying the expression first.
Given: x + 5x - 36
Step 1: Combine like terms
x + 5x = 6x
So, the expression becomes 6x - 36
Step 2: Factor the expression
To factor the expression 6x - 36, we look for two numbers that multiply to -36 (the constant term) and add up to 6 (the coefficient of x). These numbers are 12 and -3.
Step 3: Write the factored form
Therefore, the factored form of the polynomial 6x - 36 is:
6(x - 6)
Thus, the correct factored form of the given polynomial x + 5x - 36 is:
6(x - 6)
Among the options provided:
A. (x+4)(x+9)
B. (x-4)(x+9)
C. (x-5)(x+8)
D. (x-4)(x-9)
The correct answer would not match any of the options given. The factored form of the polynomial x + 5x - 36 is 6(x - 6), which is not listed in the provided options.
