Question

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

Answer 1

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

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