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)
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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]