To show that multiplying polynomials is a closed system, we need to demonstrate that the product of two polynomials is also a polynomial.
Let's multiply the given polynomials (X^2-1) and (-2x+5):
(X^2-1)(-2x+5)
= X^2(-2x) + X^2(5) + (-1)(-2x) + (-1)(5)
= -2x^3 + 5x^2 + 2x - 5
As we can see, the product is a polynomial (-2x^3 + 5x^2 + 2x - 5). Therefore, multiplying polynomials is a closed system.
Use the following multiplication problem to show multiplying polynomials is a closed system
(X^2-1)(-2x+5)
1 answer
1 answer