Question

Simplify the polynomial

Answer 1

`\large\tt\boxed{D. \ \tt -5j^(2)-5j+5}`

Explanation:

`\textsf{We are asked to simplify the Polynomial.}`

`\large\underline{\textsf{What is a Polynomial?}}`

`\textsf{A Polynomial is an \underline{expression} that is made up of 1 or more terms.}`

`\textsf{Terms can be a single whole number, variables, or a combination.}`

`\large\underline{\textsf{How to Simplify a Polynomial?}}`

`\textsf{There are a few ways to simplify a Polynomial. Let's identify them.}`

`\textsf{A way to simplify a polynomial is by using the Distributive Property.}`

`\textsf{Another way is to combine like terms.}`

`\textsf{For this problem, we will have to do both!}`

`\large\underline{\textsf{What is the Distributive Property?}}`

`\textsf{Distributive Property is a property that allows us to distribute a number left to a set}`

`\textsf{of parentheses inside the values of the parentheses.}`

`\underline{\textsf{How the Distributive Property works;}}`

`\textsf{Example;} \tt -2(x+y)`

`\textsf{-2 would multiply with x and y.}`

`\mathtt{ -2(x+y)=\boxed{-2x-2y}}`

`\large\underline{\textsf{What is Combining Like Terms?}}`

`\textsf{Combining Like Terms is a simple way to simplify an expression by adding/subtracting}`

`\textsf{like terms. This helps to make the expression much simpler.}`

`\textsf{Now, we should know how to simplify the given polynomial.}`

`\large\underline{\textsf{Solving;}}`

`\textsf{Begin by using the Distributive Property on the left side of the Polynomial.}`

`\textsf{Afterwards, Combine Like Terms.}`

`\large\underline{\textsf{Simplifying;}}`

`\tt -(5j^(2)+2j-7)-(3j+2)`

`\textsf{The negative sign on the left side of the parentheses is the same as -1. Turn terms}`

`\textsf{into their opposite value.}`

`\tt -(5j^(2)+2j-7) \rightarrow (-1 * 5j^(2))+(-1*2j)-(-1*-7)`

`\tt -(3j+2) \rightarrow (-1 *3j) + (-1 * 2)`

`\underline{\textsf{After Simplifying;}}`

`\tt -5j^(2)-2j+7-3j-2`

`\underline{\textsf{Combine All Like Terms;}}`

`\tt -5j^(2)\boxed{-2j}+7\boxed{-3j}-2`

`\tt -5j^(2)-5j\boxed{+7}\boxed{-2}`

`\large\tt\boxed{D. \ \tt -5j^(2)-5j+5}`