Question

Cho đa thức f(x)=ax^5+bx^3+2014x+1

Biết f(2015)=2. Tính f(-2015).

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Answer 1

f(2015)=a(2015)^5+b(2015)^3+2014.2015 +1 mà f(2015)=2 => a(2015)^5+b(2015)^3+2014.2015+1=2 =>a(2015)^5+b(2015)^3+2014.2015 =1

Xét f(-2015)=a(-2015)^5+b(-2015)^3+2014.(-2015) +1=-a(2015)^5-b(2015)^3-2014.2015 +1  =     -(a(2015)^5+b(2015)^3+2014.2015)+1 =-1+1=0

Answer 2

bài dễ 

ta có f(2015)=a.2015^5+b.2015^3+2014.2015+1

        f(-2015)=a.(-2015)^5+b.(-2015)^3+2014.(-2015)+1

=>f(2015)+f(-2015)=2

(=)2+f(-2015)+2

(=) f(-2015)=0

Answer 3

Ta có:\(f\left(x\right)=ax^5+bx^3+2014x+1\)

\(f\left(-x\right)=-ax^5-bx^3-2014x+1\)

\(\Rightarrow f\left(x\right)+f\left(-x\right)=\left(ax^5+bx^3+2014x+1\right)-\left(x^5+bx^3+2014x-1\right)\)

\(=2\)

\(\Rightarrow f\left(2015\right)+f\left(-2015\right)=2\)

Mà \(f\left(2015\right)=2\Rightarrow f\left(-2015\right)=0\)

Answer 4

f(-2015) = 0