Question

structures of expressions unit test
simplify the expression.
then, in 1 - 2 sentences, explain how multiplying polynomials is a closed system.
$(x^{2}-1)(-2x + 5)$
(2 points)
short answer rubric (2 points)
points awarded criteria
2 the answer is very clear.
the answer is fully supported by details.
there may be a few errors in grammar, usage, or mechanics. errors do not interfere with meaning.

Explanation:

Step1: Apply FOIL method

$(x^{2}-1)(-2x + 5)=x^{2}\times(-2x)+x^{2}\times5+(-1)\times(-2x)+(-1)\times5$

Step2: Simplify each term

$=-2x^{3}+5x^{2}+2x - 5$

For the explanation of closed - system: When we multiply two polynomials, the result is always another polynomial.

Answer:

The simplified expression is $-2x^{3}+5x^{2}+2x - 5$. Multiplying polynomials is a closed system because the product of polynomials is always a polynomial.