Question

Choose one of the factors of 5x*3 − 135. a. 5 b. x-3 c. x*2+3x+9 d. all of the above

Answer 1

All given options (5, x-3, x^2+3x+9) are factors of the expression 5x^3 - 135 since 5 is a common factor and x^3 - 27 can be factored as a difference of cubes into (x-3)(x^2+3x+9). Hence, the answer is 'all of the above'.

Step-by-step explanation:

The question asks to choose one of the factors of the expression 5x3 − 135. To find a factor, we can start by looking for common terms that can be factored out. In this case, both terms have a factor of 5, which we can factor out, giving us:

5(x3 − 27)

The expression inside the parentheses is a difference of cubes, x3 − 27 can be factored as (x − 3)(x2 + 3x + 9). Therefore, the correct factors of 5x3 − 135 are:

5

x − 3

x2 + 3x + 9

So, the answer is d. all of the above.

Answer 2

`5x^(3)-135=5(x^(3)-27)=5(x-3)(x^(2)+3x+9)`

P.S


`a^(3)-b^(3)=(a-b)(a^(2)+ab+b^(2))`

\\\ Ben