To show that multiplying polynomials is a closed system, we need to demonstrate that the product of two polynomials is also a polynomial.
Given the multiplication problem (x^2 − 1)(−2x + 5), let's expand the expression using the distributive property:
= x^2*(-2x) + x^2*5 + (-1)*(-2x) + (-1)*5
= -2x^3 + 5x^2 + 2x - 5
The result of multiplying the two polynomials is -2x^3 + 5x^2 + 2x - 5, which is a polynomial. Therefore, this demonstrates that multiplying polynomials is a closed system.
Use the following multiplication problem to show how multiplying polynomials is a closed system.
(x2−1)(−2x+5)
1 answer
1 answer