Answer and step-by-step explanation:.
- The common monomial factoring uses the GCF to divide the polynomials.
- The Greatest Common Factor (GCF) of a set of polynomials is the largest monomial that is a factor of all those polynomials.
- To find it easier, we just have to choose the common variable with the lowest exponent as part of the GCF.
- Then we just have to find the common factors of the coefficients and determine their GCF.
- 5pq + 125p²q⁷ => pq is the common variable with the lowest exponent
- 5 = 1 × 5
- 125 = 1 × 125, 25 × 5
- We now have 5pq as the GCF. Let's use this to divide the given polynomial.
- 5pq ÷ 5pq = 1
- 125p²q⁷ ÷ 5pq = 25pq⁶
- Then put the GCF and the quotients together with a parentheses.
Therefore, the factored form is 5pq(1 + 25pq⁶).
*If you have some part/s you want me to clarify, please comment below. ^^
