use the grouping method to factor x^3+x^2+3x+3

Answer 1

To factor the expression x^3 + x^2 + 3x + 3 using the grouping method, we can group the terms as follows:

(x^3 + x^2) + (3x + 3)

Now, we can factor out the common factors from each group:

x^2(x + 1) + 3(x + 1)

Now, we can factor out the common factor of (x + 1) from both terms:

(x^2 + 3)(x + 1)

Therefore, the factored form of x^3 + x^2 + 3x + 3 using the grouping method is (x^2 + 3)(x + 1).