H (w) = -5x^2+80 to factored form

- 5 (x - 4) (x + 4)

Step-by-step explanation:

Given

- 5x² + 80 ← factor out - 5 from each term

= - 5 (x² - 16) ← x² - 16 is a difference of squares and factors in general as

a² - b² = (a - b) (a + b), thus

x² - 16 = x² - 4² = (x - 4) (x + 4)

Thus

- 5x² + 80 = - 5 (x - 4) (x + 4) ← in factored form