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Factor completely:

7y^(10)+36y^(5)q^(3)+45q^(6)
Answer:

Factor completely:\newline7y10+36y5q3+45q6 7 y^{10}+36 y^{5} q^{3}+45 q^{6} \newlineAnswer:

Full solution

Q. Factor completely:\newline7y10+36y5q3+45q6 7 y^{10}+36 y^{5} q^{3}+45 q^{6} \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the polynomial 7y10+36y5q3+45q67y^{10}+36y^{5}q^{3}+45q^{6}. The GCF of the coefficients 77, 3636, and 4545 is 11. The GCF of the variable terms y10y^{10}, y5q3y^{5}q^{3}, and q6q^{6} is y5y^{5}, since it is the highest power of yy that divides evenly into each term.
  2. Factor out GCF: Factor out the GCF from each term in the polynomial. The GCF is y5y^{5}, so we factor it out: y5(7y5+36q3+45q6/y5)y^{5}(7y^{5} + 36q^{3} + 45q^{6}/y^{5}) However, we notice that 45q6/y545q^{6}/y^{5} is incorrect because we did not divide the q6q^{6} term by y5y^{5}. This is a math error.

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