Question

Use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____​

Answer 1

Given: x=6

By substituting value of x as 6 in the given expression, we get:

$f(6) = {x}^{3} - 6x + 1$

$→f(6) = {6}^{3} + (6 \times 6) - 1$

$→f(6) = 216 - 36 + 1$

Now, using integer sign property,

$→f(6) = 216 - 35$

$→f(6) = 181$

Therefore, f(6)=181