for a medal
Use synthetic division and the Remainder Theorem to find P(–3) if P(x) = x4 + 19x3 + 108x2 + 236x + 176.

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Question

for a medal
Use synthetic division and the Remainder Theorem to find P(–3) if P(x) = x4 + 19x3 + 108x2 + 236x + 176.
 	
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jmark · Answer

Use synthetic division to divide P(x) by x - (-3) = x + 3. By the Remainder Theorem, the remainder is f(-3). So, by synthetic division: -3. .|. . . .1. . . .19. . . .108. . . .236. . . .176 . . . ________________________________________________ . . . . . . 1. . . .16. . . .60. . . . .56. . . . .8. The last number is the remainder; therefore, f(-3) = 8. Follow us at : https://plus.google.com/+tutorvista/