Question

A beverage company operates two factories. Their outputs are represented by these expressions, where b is the number of bottles produced.Factory A: 2b^3– 3b^2+b-120Factory B: 4b^2 -3b-260Which polynomial represents the company's total output?A. 2b^3-7b^2+4b+140B. 2b^3 +b^2-2b-380C. 6b^3-6b^2+b+380D. 6b^3-3b^2-3b-140

Answer 1

we have

Factory A: 2b^3– 3b^2+b-120

Factory B: 4b^2 -3b-260

To find out the company's total output

Adds A and B

so

(2b^3– 3b^2+b-120)+(4b^2 -3b-260)

Group terms

2b^3+(-3b^2+4b^2)+(b-3b)+(-120-260)

Combine like terms

2b^3+b^2-2b-380

therefore

answer option B