solve in factored form
3x^8 - 27x^7 + 21x^6
3X^8 - 27X^7 + 21X^6,
3X^6(X^2 - 9X + 7).
To express the given polynomial in factored form, we have to find the common factors and factorize them out. Here are the steps to do that:
Step 1: Find the greatest common factor (GCF) of all the terms. In this case, the GCF is 3x^6.
Step 2: Factor out the GCF from each term. After factoring out 3x^6, we have:
3x^6( x^2 - 9x + 7)
The polynomial is now expressed in factored form as 3x^6(x^2 - 9x + 7).