Question
Add polynomials
0.15x^4 + 0.10x^3
- 0.01x^3 + 0.01x^2 + x
1.25x^4 + 0.11x^2 + 0.01
027x^3 + 0.99
-0.35x^4 + 15x^2 - 0.03
I don't understand PLEASE PLEASE HELP!!
0.15x^4 + 0.10x^3
- 0.01x^3 + 0.01x^2 + x
1.25x^4 + 0.11x^2 + 0.01
027x^3 + 0.99
-0.35x^4 + 15x^2 - 0.03
I don't understand PLEASE PLEASE HELP!!
Answers
Steve
Just as you have to line up the decimal places with numbers, you can only add like powers with polynomials.
So, add up all the terms with x^4: (0.15 + 1.25 - 0.35) = 1.05
Add up all the x^3 terms: (0.10 -0.01 + 0.27) = 0.36 (assuming 027x^3 should be 0.27)
Add up the x^2 terms: (0.01 + 0.11 + 0.15) = 0.27 (assuming 15x^2 should be .15)
Add up all the x terms: (1) = 1
Add up the plain numbers: (0.01 + 0.99 - 0.03) = 0.97
Put it all together to get
1.05x^4 + 0.36x^3 + 0.15x^2 + x + 0.97
If my assumptions about decimal places are wrong, adjust things as needed.
So, add up all the terms with x^4: (0.15 + 1.25 - 0.35) = 1.05
Add up all the x^3 terms: (0.10 -0.01 + 0.27) = 0.36 (assuming 027x^3 should be 0.27)
Add up the x^2 terms: (0.01 + 0.11 + 0.15) = 0.27 (assuming 15x^2 should be .15)
Add up all the x terms: (1) = 1
Add up the plain numbers: (0.01 + 0.99 - 0.03) = 0.97
Put it all together to get
1.05x^4 + 0.36x^3 + 0.15x^2 + x + 0.97
If my assumptions about decimal places are wrong, adjust things as needed.