Question

Which of the following is the completely factored form of 5x² - 10x - 75?Choose the correct answer below.O A. 5(x-3)(x + 5)O B. 5(x+3)(x + 5)O C. 5(x+3)(x-5)OD. 5(x - 3)(x - 5)

Answer 1

Given:

There are given the equation:

`5x^2-10x-75`

Step-by-step explanation:

To find the factor, first take common number from the equation:

`5x^2-10x-75=5(x^2-2x-15)`

Then,

`\begin{gathered} 5(x^2-2x-15)=5(x^2-2x-15) \\ =5(x^2-5x+3x-15) \\ =5(x(x-5)+3(x-5)) \\ =5(x-5)(x+3) \end{gathered}`

Final answer:

Hence, the correct option is C.