Question

find the grouping method to factor the polynomial in the box completely. Use the caret symbol (^) to write the exponent; for example enter x2 as x^2 3x^4+12x^3+27x

Answer 1

We start with the polynomial

3x^4 + 12x^3 +27x

Now we search for the common term, in this case it is 3x and factor it out:

3x(x^3+4x^2+9)

Notice that x^3+4x^2+9 cannot be factored anymore then the factorization of the polynomial is:

3x(x^3+4x^2+9)