Consider the polynomial function f ( x ) = 3 x 3 − 2 x 2 + 4 0 . Is 4 a zero of f ( x ) ?
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@Marvin Kalngan , I have edited your solution again.
f ( x ) = 3 x 2 − 2 x 2 + 4 0 , and we have to get f ( x ) . Then 3 × 4 3 − 2 × 4 2 + 4 0 = 3 × 6 4 − 2 × 1 6 + 4 0 = 1 9 2 − 3 2 + 4 0 = 2 3 2 − 3 2 = 2 0 0 . So, the answer is No .
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Find f ( 4 ) .
f ( 4 ) = 3 ∗ 4 3 − 2 ∗ 4 2 + 4 0 = 2 0 0
Since f ( 4 ) is not equal to zero, 4 is not a zero of f ( x ) .