Q:

Which of the following represents the zeros of f(x) = x3 − 4x2 − 5x + 20?

Accepted Solution

A:
Answer:the zeros are:x=-4 and x = [tex]\sqrt{5}[/tex] and x= [tex]-\sqrt{5}[/tex]Step-by-step explanation:To find the zeros of x3 − 4x2 − 5x + 20 we need to factorize the equation, so we have:actoring:  x3+4x2-5x-20   Thoughtfully split the expression at hand into groups, each group having two terms : Group 1:  -5x-20  Group 2:  4x2+x3   Pull out from each group separately : Group 1:   (x+4) • (-5) Group 2:   (x+4) • (x2)               ------------------- Add up the two groups :               (x+4)  •  (x2-5)  Which is the desired factorizationThen, the zeros are:x=-4 and x = [tex]\sqrt{5}[/tex] and x= [tex]-\sqrt{5}[/tex]