Use synthetic division to find P(−2) for P(x)=x4−5x3+3x+2 .
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To find P(-2), we substitute -2 into the polynomial P(x):
P(-2) = (-2)^4 - 5(-2)^3 + 3(-2) + 2
Simplifying this expression, we have:
P(-2) = 16 - 5*(-8) + (-6) + 2
P(-2) = 16 + 40 - 6 + 2
P(-2) = 52 - 6 + 2
P(-2) = 48 + 2
P(-2) = 50