Question

2) Add or subtract the following polynomials: (5pts each) 1) (98-7x' +5x-3)+(2x* +4x'-6x-8) = ii) (8x* +6x - 4x2 -2)-(3x* – 5x – 7x+9)=

Answer 1

When we are adding/subtracting polynomials, we add or subtract like terms.

For example,

x^2 added with x^2 terms

x^4 added with x^4 terms

numbers (constants) added with numbers etc.

2 i)
`(9x^5-7x^2+5x-3)+(2x^4+4x^3-6x-8)`

Since we are "adding" the 2nd parenthesis polynomial, we can take out the parenthesis and put them in order and them simply add/subtract(!) The steps are shown below:

`\begin{gathered} (9x^5-7x^2+5x-3)+(2x^4+4x^3-6x-8) \\ =9x^5-7x^2+5x-3+2x^4+4x^3-6x-8 \\ =9x^5+2x^4+4x^3-7x^2+5x-6x-3-8 \\ =9x^5+2x^4+4x^3-7x^2-x-11 \end{gathered}`

Note: there were like terms with "x's" and "constants". We added/subtracted them only.