Question

Which statements are true about the polynomial 28vw + 49v + 35w? Check all that apply.

(THERE IS MORE THAN ONE ANSWER BTW)

The coefficients have no common factors other than 1.
There are no common variables among all three terms.
The GCF of the polynomial is 7v.
Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

Answer 1

the answers are b and e

Answer 2

Answer: The correct answer is there are no common variables among all three terms and the resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

Explanation:

We are given a polynomial (28vw + 49v + 35w) which has three terms: 28vw, 49v and 35w.

This polynomial can be simplified by taking 7 out of the equation, because it is common to all the three terms.

The simplified equation becomes: 7(4vw + 7v + 5w)

The greatest common factor is the constant which is common to all the terms of the polynomial and for this equation, the GCF is 7.