Use the remainder theorem and synthetic division to find $P ( k )$ . $P ( x ) = 3 x ^ { 3 } + 2 x ^ { 2 } - 6 x - 5 ; k = - 3$
A) -50
B) 76
C) 122
D) none of these

Name: Use the remainder theorem and synthetic division to find $P ( k )$ . $P ( x ) = 3 x ^ { 3 } + 2 x ^ { 2 } - 6 x - 5 ; k = - 3$ A) -50 B) 76 C) 122 D) none of these
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Question

Quizplus · Accepted Answer

Using the remainder theorem, when we substitute $k = -3$ into $P(x)$, we get $P(-3) = 3(-3)^3 + 2(-3)^2 - 6(-3) - 5 = 3(-27) + 2(9) + 18 - 5 = -81 + 18 + 18 - 5 = -50$.

Use the Remainder Theorem and Synthetic Division to Find P(k)P ( k )P(k)

Use the Remainder Theorem and Synthetic Division to Find $P ( k )$