Question

P(x)=-2x^4-7x+1/2-6x^4+2x^2-x

Q(x)=3x^3-x^4-5x^2+x^3-6x+3/4 tính p(x)+Q(x) và p(x)-Q(x)

Answer 1

\(P\left(x\right)=-8x^4+2x^2-8x+\dfrac{1}{2}\)

\(Q\left(x\right)=-x^4+4x^3-5x^2-6x+\dfrac{3}{4}\)

\(P\left(x\right)+Q\left(x\right)=-9x^4+4x^3-3x^2-14x+\dfrac{5}{4}\)

\(P\left(x\right)-Q\left(x\right)=-7x^4-4x^3+7x^2-2x-\dfrac{1}{2}\)

Answer 2

`P(x)=-2x^4-7x+1/2-6x^4+2x^2-x=-8x^4+2x^2-8x+1/2`

`Q(x)=3x^3-x^4-5x^2+x^3-6x+3/4=-x^4+4x^3-5x^2-6x+3/4`

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`P(x)+Q(x)=-8x^4+2x^2-8x+1/2-x^4+4x^3-5x^2-6x+3/4`

                `=-9x^4+4x^3-3x^2-14x+5/4`

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`P(x)-Q(x)=-8x^4+2x^2-8x+1/2+x^4-4x^3+5x^2+6x-3/4`

               `=-7x^4-4x^3+7x^2-2x-1/4`