Question

Hey can you please help me posted picture of question :)

Answer 1

For this case we have the following polynomial:
3x4 + 6x3 + 9x2
We observe that the polynomial has 3x2 as a common factor.
Therefore, by rewriting the polynomial we have:
3x2 (x2 + 2x + 3)
Answer:
The factorization for this case is given by:
3x2 (x2 + 2x + 3)
option B

Answer 2

First we have to take out the greatest common factor from the given polynomial. If you observe the expression, you can see the greatest common factor that exist is 3x². So taking it out as common, the factorization of the polynomial will be:


`3 x^(4)+6 x^(3)+9 x^(2) \\ \\ =3 x^(2) ( x^(2) +2x+3)`

So, the option B gives the correct answer to this question