The zeroes of the given function are: 4,-5, 1/2
Step-by-step explanation:
Given function is:
[tex]f(x) = (x -4)(x + 5)(2x-1)[/tex]
In order to find the zeroes of the function, we will replace f(x) with y
So,
[tex]y = (x -4)(x + 5)(2x-1)[/tex]
And then we will put y=0
[tex]0 = (x -4)(x + 5)(2x-1)\\(x -4)(x + 5)(2x-1)=0[/tex]
[tex]Now,\\x-4 = 0 => x=4\\x+5 = 0 => x=-5\\2x-1 = 0 => 2x=1 => x=\frac{1}{2}[/tex]
The zeroes of the given function are: 4,-5, 1/2
Keywords: roots, Zeroes of a function
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