W(x)=x4 - 3x3 + ax2 + bx + a pierwiastki x1= 1, x2= -1 znajdź wartość a i b
W(1)=0
W(1)=1-3+a+b+a
W(1)=-2+2a+b
W(-1)=0
W(-1)=1+3+a-b+a
W(-1)=4+2a-b
-2+2a+b=0
4+2a-b=0
-2+b-4+b=0
-6+2b=0
2b=6
b=3
-2+2a+3=0
2a+1=0
a=-1/2
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W(1)=0
W(1)=1-3+a+b+a
W(1)=-2+2a+b
W(-1)=0
W(-1)=1+3+a-b+a
W(-1)=4+2a-b
-2+2a+b=0
4+2a-b=0
-2+b-4+b=0
-6+2b=0
2b=6
b=3
-2+2a+3=0
2a+1=0
a=-1/2