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61) If P(x) = ax4 + bx3 + cx2 + dx + e has roots at x=1,2,3 and 4, and P(0) = 48, what is P(5)?
a) 48
b) 24
c) 0
d) 50
Read Solution (Total 1)
-
- P(0) means e=48
Solving:
a+b+c+d+48=0
16a+8b+4c+2d+48=0
81a+27b+9c+3d+48=0
256a+64b+16c+4d+48=0
We get a=2 b=-20 c=70 d=-100
So, P(5)= 2*625 - 20*125 + 70*25 - 100*5 + 48 = 48 - 10 years agoHelpfull: Yes(1) No(0)
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