Question

PLEASE HELP WILL GIVE 30 POINTS

Add or subtract. Show your work for each problem
a. (x^2-4x+5)+(7x^2+2x-3) b. (7x^2+4x-6)-(2x^2-3x+1)

Answer 1

a)

x² - 4x + 5 + 7x² + 2x - 3

8x² - 2x + 2

b)

7x² + 4x - 6 - (2x² - 3x + 1)

7x² + 4x - 6 - 2x² + 3x - 1

5x² + 7x - 7

Answer 2

To solve this problem you must apply the proccedure shown below:

a) You must sum terms with same exponents, therefore, you have that the sum of these two polynomials is:

`(x^(2)-4x+5)+(7x^(2)+2x-3)`

`8x^(2) -2x+2`

b) First, you must mulitply the signs of the second polynomial by the negative sign, and them, you apply an algebraic sum. Therefore, the result is:

`(7x^(2)+4x-6-2x^(2)+3x-1) \\ 5x^(2) +7x-7`

The answers are: a)
`8x^(2) -2x+2`; b)
`5x^(2) +7x-7`