Question

Determine if x-3 is a factor of f(x)=x^3-x^2-5x-3

Answer 1

Answer:

(x - 3) is a factor of the given function

Step-by-step explanation:

Given function:

$\implies f\:\!\:(x)=x^3-x^2-5x-3$

If (x - 3) is a factor of the given function then $f\:\!\:(3) = 0$

Substitute x = 3 into the function and solve:

$\implies f\:\!\:(3)=(3)^3-(3)^2-5(3)-3$

$\implies f\:\!\:(3)=27-9-15-3$

$\implies f\:\!\:(3)=0$

Therefore, as  $f\:\!\:(3) = 0$ then (x - 3) is a factor of the given function.

Answer 2

Step-by-step explanation:

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