Question

Choose one of the factors of 6x^3 + 6

Answers: x + 1
x – 1
x^2 + x + 1
x^2 – 2x + 1

Answer 1

6x^3 + 6 = 6(x^3 + 1) = 6(x + 1)(x^2 - x + 1)
Therefore, one of the factors is x + 1.

Answer 2

Answer: First option is correct.

Explanation:

Since we have given that

`6x^3+6`

Now, by factorising , we get

`6x^3+6\\=6(x^3+1)`

Now, we use the formula i.e.

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

By using this, we get ,

`6(x^3+1)\\=6(x+1)(x^2-x+1)`

So,

`(x+1) \text{ is the factor of }6x^3+6.`