câu 4: b, đề bài là tính giá trị của A tại x =-1/2;y=-1

Tk

Bài 2

a) F(x)-G(x)+H(x)= \(x^3-2x^2+3x+1-\left(x^3+x-1\right)+\left(2x^2-1\right)\)

= \(x^3-2x^2+3x+1-x^3-x+1+2x^2-1\)

=  \(x^3-x^3-2x^2+2x^2+3x-x+1+1-1\)

=  2x + 1

b) 2x + 1 = 0

 2x = -1

 x=\(\dfrac{-1}{2}\)

\(\text{a)}f\left(x\right)-g\left(x\right)+h\left(x\right)=\left(x^3-2x^2+3x+1\right)-\left(x^3+x-1\right)+\left(2x^2-1\right)\)

                                    \(=x^3-2x^2+3x+1-x^3-x+1+2x^2-1\)

                               \(=\left(x^3-x^3\right)+\left(-2x^2+2x^2\right)+\left(3x-x\right)+\left(1+1-1\right)\)

                                  \(=2x+1\)

\(\text{b)Vì f(x)-g(x)+h(x)=0}\)

\(\Rightarrow2x+1=0\)

\(\Rightarrow2x\)        \(=0-1=-1\)

\(\Rightarrow\)   \(x\)        \(=\left(-1\right):2=\dfrac{-1}{2}\)

\(\text{Vậy x=}\dfrac{-1}{2}\text{ thì f(x)-g(x)+h(x)=0}\)

a: \(f\left(x\right)-g\left(x\right)+h\left(x\right)\)

\(=2x^3-2x^2+4x+2x^2-1=2x^3+4x-1\)

b: f(x)-g(x)+h(x)=0

\(\Leftrightarrow2x^3+4x-1=0\)

\(\Leftrightarrow x\simeq0,2428\)

a: \(f\left(x\right)+g\left(x\right)=2x^3-2x^2+4x\)

b: \(f\left(x\right)-g\left(x\right)=-2x^2+2x+2\)

a)\(f\left(x\right)+g\left(x\right)=\left(x^3+x^3\right)-2x^2+\left(3x+x\right)+\left(1-1\right)\)

\(f\left(x\right)+g\left(x\right)=2x^3-2x^2+4x\)

b)\(f\left(x\right)-g\left(x\right)=x^3-2x^2+3x+1-x^3-x+1\)

\(f\left(x\right)-g\left(x\right)=-2x^2+2x+2\)

`a,f(x)-g(x)+h(x)`

`=x^3-2x^2+3x+1-(x^3+x-1)+2x^2-1`

`=(x^3-x^3)+(2x^2-2x^2)+3x+1+1-1`

`=0+0+3x+1`

`=3x+1`

`b,f(x)-g(x)+h(x)=0`

`=>3x+1=0`

`=>x=-1/3`

a: \(F\left(x\right)=x^3+2x^2+3x+4\)

\(G\left(x\right)=x^3-x^2+3x+1\)

b: \(F\left(x\right)+G\left(x\right)=2x^3+x^2+6x+5\)

\(F\left(x\right)-G\left(x\right)=3x^2+3\)

f(x)=x³ +2x²+3x+4

g(x)=x³ trừ x²+3x+1

Bài 2:

x^3+6x^2+12x+m chia hết cho x+2

=>x^3+2x^2+4x^2+8x+4x+8+m-8 chia hết cho x+2

=>m-8=0

=>m=8

a. Ta có:

f(x) = -2x2 - 3x3 - 5x + 5x3 - x + x2 + 4x + 3 + 4x2

= 2x3 + 3x2 - 2x + 3 (0.5 điểm)

g(x) = 2x2 - x3 + 3x + 3x3 + x2 - x - 9x + 2

= 2x3 + 3x2 - 7x + 2 (0.5 điểm)

a) f(x)-g(x)+h(x)=\(\left(x^3-2x^2+3x+1\right)-\left(x^3+x-1\right)+\left(2x^2-1\right)\)

=\(x^3-2x^2+3x+1-x^3+x-1+2x^2-1\)

=\(4x-1\)

Vậy f(x)-g(x)+h(x)=4x-1

Ta có:f(x)-g(x)+h(x)=4x-1=0

=> 4x-1=0

=> 4x=1

=> x=1/4

Vậy để f(x)-g(x)+h(x)=0 thì x=1/4

a) \(f\left(x\right)-g\left(x\right)\) hay \(x^3-2x^2+3x+1-x^3-x+1=-2x^2+2x+2\)

b) \(f\left(x\right)-g\left(x\right)+h\left(x\right)=0\) hay \(-2x^2+2x+2+2x^2-1=2x+1\Rightarrow2x+1=0\Rightarrow x=-\dfrac{1}{2}\)

h(x)=5x+1

nghiệm_của_đa_thức_h(x)_là_-1/5