The given polynomial is x^3 + 2x^2 + 2x + 4.
To factor a polynomial, we look for common factors and factors that form a binomial square or a difference of squares.
In this case, there are no common factors.
We can try factor by grouping:
x^3 + 2x^2 + 2x + 4
= (x^3 + 2x^2) + (2x + 4)
= x^2(x + 2) + 2(x + 2)
= (x^2 + 2)(x + 2).
Therefore, the factored form of the given polynomial is (x^2 + 2)(x + 2).
Factor the following polynomial.
x^3+2x^2+2x+4
1 answer
1 answer