Question

Please help me solve my algebra 1 homework.“A show company is going to close one of its two stores and combine all the inventory “

Answer 1

You know that the polynomial that represents the inventory of Store A is:

`(1)/(3)g^2+(5)/(2)`

And this polynomial represents the inventory of Store B:

`2g^2-(3)/(4)g+(3)/(4)`

Then, you can set up the following Addition of Polynomials, which represents the combined inventory of Store A and Store B:

`((1)/(3)g^2+(5)/(2))+(2g^2-(3)/(4)g+(3)/(4))`

To simplify the expression, you only need to add the like terms (remember that the like terms have the same variables and the same exponents). Then, you get:

`\begin{gathered} =(1)/(3)g^2+(5)/(2)+2g^2-(3)/(4)g+(3)/(4) \\ \\ =(7)/(3)g^2-(3)/(4)g+(13)/(4) \end{gathered}`

Therefore, the answer is:

`(7)/(3)g^2-(3)/(4)g+(13)/(4)`