What is the complete factorization of the polynomial below? x^3+3x^2-x-3

(x + 3)(x + 1)(x - 1)

Step-by-step explanation:

Given

x³ + 3x² - x - 3

Factor the first/second and third/fourth terms

= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence

= (x + 3)(x + 1)(x - 1) ← in factored form

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.