Note:
Hello, please help me with the above. I want to be able to use them as samples to solve other problems so if you can show me step by step how it works it would great. Thanks so much for all your help.

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1.Add the polynomials.

(x^3+4x^2+2x-3) + (-x^3-3x^2-3x+2)

When you add polynomials, the most important thing to remember is to keep like terms (the same exponent) together.

(X^3+4x^2+2x-3)+ (-x^3-3x^2-3x+2)
1) Rewrite with like terms together: (x^3 + -x^3) + (4x^2+-3x^2)+(2x+-3x)+(-3+2)
2) Perform the addition: (0)+(x^2)+(-x)+(-1)
3) Simplify to eliminate parentheses: x^2-x-1

This is the same as number 1; the only difference is that since it is subtraction you need to remember to use the opposite signs.
1) Rewrite with like terms together: ...

Solution Summary

The following posting includes several worked-out answers for adding, subtracting, multiplying, dividing polynomials.

Fundamental Operations on Polynomials. Solve the following questions involving fundamental operations on polynomials: ... fundamental operations on polynomials. ...

Solve the following questions involving fundamental operations on polynomials a. Find p(x) + 4q(x) p(x)=4x^4 + 55x^3 - 23x^2 + 13 q(x)=43x^4+ 14x^2 -12 b. Find ...

... DQ 6: Under which arithmetic operations on polynomials do you use the distributive law? ... Thanks for using BrainMass. Operations with polynomials. ...