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andreev551 [17]
2 years ago
6

If f(x) = x^3 – 10x^2 + 29x – 30 and f(6) = 0, then find all of the zeros of f(x) algebraically.

Mathematics
1 answer:
tino4ka555 [31]2 years ago
7 0
Step 1: 1

(((x3) - (2•5x2)) + 29x) - 30 = 0

Step 2 2.1 x3-10x2+29x-30 is not a perfect cube

Step 3 Factoring: x3-10x2+29x-30

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 29x-30
Group 2: -10x2+x3

Pull out from each group separately :

Group 1: (29x-30) • (1)
Group 2: (x-10) • (x2)

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