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factor the following polynomials by using common monomial factoring

5pq + 125p²q⁷
​

Sagot :

Wynliviaidn

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 + 125p²q⁷

  • 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. ^^