Question

if $p(z) = 7z^{2} + 9z + 17$, use synthetic division to find $p(1)$.

Explanation:

Step1: Set up synthetic division

For the polynomial \( p(z) = 7z^2 + 9z + 17 \) and \( z = 1 \), we set up synthetic division with the root \( 1 \) and the coefficients \( 7, 9, 17 \).

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Step2: Interpret the result

The last number in the bottom row of the synthetic division is the value of \( p(1) \).

Answer:

\( 33 \)