Question

Is the binomial x-8 a factor of the function f(x)=x3^-9x^+12x-17 Explain

Answer 1

Answer:

$(x-8)$ is not a factor of the function $f(x) = x^{3}-9\cdot x^{2}+12\cdot x - 17$.

Step-by-step explanation:

If $(x-8)$ is a factor of the function $f(x) = x^{3}-9\cdot x^{2}+12\cdot x - 17$ if and only if $f(8) = 0$. We must evaluate the polynomial at given value of $x$ to confirm or discard the statement:

$f(8) = 8^{3}-9\cdot (8)^{2}+12\cdot (8) -17$

$f(8) = 15$

Which means that $(x-8)$ is not a factor of the function $f(x) = x^{3}-9\cdot x^{2}+12\cdot x - 17$.