Use substitution to determine whether 2 is a zero of the function.
$f (x) = x^{4} - 2 x^{3} + 2 x^{2} - 7 x - 6$
Is 2 a zero of $f (x)$ ?
Yes
No

Answer

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Answer

$No$

Steps

Step 1 ：Substitute x = 2 into the function $f (x) = x^{4} - 2 x^{3} + 2 x^{2} - 7 x - 6$ :

Step 2 ： $f (2) = 2^{4} - 2 (2)^{3} + 2 (2)^{2} - 7 (2) - 6$

Step 3 ： $f (2) = 16 - 16 + 8 - 14 - 6$

Step 4 ： $f (2) = - 12$

Step 5 ：Since $f (2) \neq 0$ , 2 is not a zero of the function.

Step 6 ： $No$