Understanding and Operating with Polynomials Practice Test

Multiply and write the result in standard form. Since polynomials are closed under multiplication, the product is a polynomial: $$\left(x^2 + 2x - 5\right) \times \left(x^2 - x + 1\right).$$

Simplify and write the result in standard form. The expression uses only addition, subtraction, and multiplication, so by closure the result is a polynomial: $$\left(x+2\right)^2-\left(x-1\right)\left(x+3\right).$$