Problem

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

Solution

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

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 :\(\boxed{\text{No}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/21869/

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