Wielomiany W(x) i Q(x) są równe. Wyznacz wartości współczynników a,b,c jeżeli:
1. W(x)= 3x³-(a+3)x²+7x+c
Q(x)=3x³+4x²-(b+1)x+4
2. W(x)= 5x³-(3a+1)x²+bx-3/4
Q(x)=5x³+2x²-(3b+2)x+1/2c
3. W(x)= ax^4+(4-3b)x³+7x-0,75c
Q(x)=x³+ax²+7x+4
wyniki:
1. a=-7 b=-8 c=4
2. a=-1 b=-1/2 c=-1,5
3. a=0 b=1 c=-5 1/3
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1. W(x)= 3x³-(a+3)x²+7x+c
Q(x)=3x³+4x²-(b+1)x+4
-(a+3)=4 7=-(b+1) c=4
-a-3=4 7=-b-1
a=-7 b=-8
2. W(x)= 5x³-(3a+1)x²+bx-3/4
Q(x)=5x³+2x²-(3b+2)x+1/2c
-(3a+1)=2 b=-(3b+2) -3/4=1/2c
-3a-1=2 b=-3b-2 c=-1,5
a=-1 b=-1/2
3. W(x)= ax^4+(4-3b)x³+7x-0,75c
Q(x)=x³+ax²+7x+4
a=0 4-3b=1 -0,75c=4
b=1 c=-5 i1/3