operations on polynomials
Please perform operations on polynomials using addition, subtraction, multiplication, and division. I will need 3 examples of each.
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Solution Preview
Please perform operations on polynomials using addition, subtraction, multiplication, and division.
Addition of polynomials
1) (2 - 3x + x3) + (-1 - 4x + x2)= x3+ x2-7x+1
2) ( x3-x2-x+1)+ (2x3+3x2-2x-3)= 3x3+2x2-3x-2
3) ( x2-3x+5)+ (5x+2)= x2+2x+7
Subtraction of polynomials
1) (1 - 4x + x2) - (3 - 5x - x2)= 2x2+x-2
2) ( x3-5x2-4x+2) - ...
Solution Summary
Please perform operations on polynomials using addition, subtraction, multiplication, and division.
Polynomials, Polynomial Operations, Exponents, Fractions and Radicals
1. What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial?
2. When multiplying two polynomials, what fundamental property do you use repeatedly?
3. When working with exponents, is there any difference in operations if the exponents are whole numbers or fractions?
4. In what sense do exponentials and radicals behave exactly the same way?