Isiah determined that 5a² is the GCF of the polynomial a³ - 25a²b⁵ - 35b⁴. Is he correct? Explain.

Solution:

One of the methods while factoring polynomials, is to take out the GCF of the terms.

Isiah determined that 5a² is the GCF of the polynomial a³ - 25a²b⁵ - 35b⁴ 

GCF of the coefficients is 1

Among the three terms of the polynomial, there is no common variable.

5b⁴ is a factor of - 25a²b⁵ and -35b⁴

a² is a factor of a³ and -25a²b⁵ but not -35b⁴

Therefore, Isaiah is not correct.

Isiah determined that 5a² is the GCF of the polynomial a³ - 25a²b⁵ - 35b⁴. Is he correct? Explain.

Summary:

Isiah determined that 5a² is the GCF of the polynomial a³ - 25a²b⁵ - 35b⁴. No, he is not correct. GCF of the polynomial a³ - 25a²b⁵ - 35b⁴ is 1.