7. 設多項式f(x)=16x+-8x²-28x²+16x+5
= a(x-)² + b(x-² +² -1² + (x == 1 + 0
+b
- c(x
2
= A(2x-1)* + B(2x−1)³ + C(2x−1)² +D(2x−1)
+E,其中a、b、c、d、e、A、B、C、D、
E為實數,試求:
0
(1) 序組(a,b,c,d,e) (2) 序組(A,B,C,D,E)
1
1
16 - 8 - 28 + 16 +5/2
+8 +0-14 +1
16 +0 -28 +2 (+6
+8 +4 -12
16+8 -24 -10
+ 8 + 8
16+16 |--16
+8
16+24
(¹) "(a, b, c, d, e) = (16, 24, -16, -10, 6)
(2)