Mrnobody08
Answered

Factor the polynomial. 2x² + 4x³ + 6x² O A. x²(2x³+3x²+2x) B. (2x² + 3x)(x² + 2x) OC. 2x³(x + 2) + 6x² D. 2x²(x²+2x+3)

pls help ​



Answer :

DSunky

Answer:

The correct factorization is option C: 2x²(x + 2) + 6x

Step-by-step explanation:

To factor the polynomial 2x² + 4x³ + 6x², we first look for the greatest common factor (GCF) among the terms. In this case, the GCF is 2x².

So, we can factor out 2x² from each term:

2x² + 4x³ + 6x² = 2x²(1 + 2x + 3)

Now, we simplify the expression inside the parentheses:

1 + 2x + 3 = 2x + 4

Therefore, the factored form of the polynomial is:

2x²(2x + 4)

Now, we can simplify further by factoring out the GCF of 2:

2x²(2(x + 2))

So, the correct factorization is option C: 2x²(x + 2) + 6x