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).
Answers
Given : Polynomial 28vw + 49v + 35w
To Find : Which statements are true
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).
Solution:
Polynomial 28vw + 49v + 35w
= 2 x 2 x 7 x v x w + 7 x 7 x v + 5 x 7 x w
common factor in all three terms is 7
Hence GCF = 7
= 7 ( 4vw + 7v + 5w)
Hence coefficients have 7 as common factors other than 1.
Hence The coefficients have no common factors other than 1. - FALSE
There are no common variables among all three terms. - TRUE
as GCF is 7 and no variable in GCF
The GCF of the polynomial is 7v. - FALSE
The GCF of the polynomial is 7.
Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w). FALSE
Its 7 ( 4vw + 7v + 5w)
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w). TRUE
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Answer:
b and e
Step-by-step explanation: