Question

oblicz dla jakich wartości m i n wielomiany W i P sa równe gdy W(x)=2mx^5+(m+n)x^4+3x P(x)=-0,5nx^5-6x^4+3x pomocy W(x)=x^3+mx^2-(n+1)x+2 P(x)=(x-1)^3+3

Answer 1

W(x)=2mx^5+(m+n)x^4+3x     P(x)=-0,5nx^5-6x^4+3x   

 

2m = -0,5n

m + n = -6

 

2m = -1/2n    / *(-2)

-4m = n

 

m + (-4m) = -6

-3m = -6

m = 2

 

n = -4 * 2

n = -8

 

odp. n = -8    m = 2

 

 

W(x)=x^3+mx^2-(n+1)x+2    P(x)=(x-1)^3+3 = x^3 - 3x^2 + 3x - 1 + 3

m = -3

-(n + 1) = 3

-n - 1 = 3

-n = 3 + 1

-n = 4

n = -4

 

odp. n = -4     m = -3