Which statements are true about the polynomial 28vw + 49v + 35w? Check all that apply.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
A
The coefficients have no common factors other than 1.
B
There are no common variables among all three terms.
C
The GCF of the polynomial is 7v.
D
Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).
E
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).
Explanation
The numerical coefficients 28, 49, and 35 share a greatest common factor of 7. No variable appears in all three terms: v is missing from 35w, and w is missing from 49v, so the full GCF is 7. Factoring it out gives 7(4vw + 7v + 5w), making “There are no common variables among all three terms” and that factored expression true.
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