Question

What is the greatest common monomial factor of this polynomial? 21x4y5z+28x2y4z4 Enter your answer in the box.

Answer 1

`\boxed{7x^2y^4z}`

Explanation:

The greatest common factor of 21=7·3 and 28=7·4 is 7.

The greatest common factor of x^4 and x^2 is x^2 (the term with the smallest exponent).

The greatest common factor of y^5 and y^4 is y^4.

The greatest common factor of z and z^4 is z.

21x^4·y^5·z+28x^2·y^4·z^4 = 7x^2·y^4·z·(3x^2·y + 4z^3)