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.

Step-by-step 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,

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