SOLUTION: P(x)=2x4−7x3+6x−14; c=3 State the value for P(3) A. 319 B. 149 C. -23 D. -5 E. NONE

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: P(x)=2x4−7x3+6x−14; c=3 State the value for P(3) A. 319 B. 149 C. -23 D. -5 E. NONE      Log On


   

Question 1027322: P(x)=2x4−7x3+6x−14; c=3
State the value for P(3)
A. 319
B. 149
C. -23
D. -5
E. NONE
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Use of the Remainder Theorem. What do you find as remainder when you use synthetic division to check 3 as a possible root of P? Nonzero remainder will be P evaluated at 3.

Set up the synthetic division this way:

3      |      4     -7     0     6     -14
       |
       |
       |_________________________________________
                                       P(3)