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a: P(x)=5x^3+3x^2-2x-5
\(Q\left(x\right)=5x^3+2x^2-2x+4\)
b: P(x)-Q(x)=x^2-9
P(x)+Q(x)=10x^3+5x^2-4x-1
c: P(x)-Q(x)=0
=>x^2-9=0
=>x=3; x=-3
d: C=A*B=-7/2x^6y^4
a: P(x)=6x^4+5x^3-3x^2+5x-10
Q(x)=5x^4+5x^3+2x^2-4x+4
b: P(x)+Q(x)
=6x^4+5x^3-3x^2+5x-10+5x^4+5x^3+2x^2-4x+4
=11x^4+10x^3-x^2+x-6
P(x)-Q(x)
=6x^4+5x^3-3x^2+5x-10-5x^4-5x^3-2x^2+4x-4
=x^4-5x^2+9x-14
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a : P(x)=\(5x^3+3x^2\)\(-2x\)\(-5\)
Q(x)=\(7x^3\)\(+3x^2\)\(-4x\)\(+4\)
b: P(x)+Q(x)=\(12x^3+6x^2-6x-1\)
P(x)-Q(x)= \(-2x^3+2x-9\)
a: \(P\left(x\right)=-5x^4+2x^2-8x+\dfrac{1}{2}\)
\(Q\left(x\right)=4x^4+2x^3-5x^2-6x+\dfrac{3}{2}\)
b: \(A\left(x\right)=-5x^4+2x^2-8x+\dfrac{1}{2}+4x^4+2x^3-5x^2-6x+\dfrac{3}{2}=-x^4+2x^3-3x^2-14x+2\)
\(B\left(x\right)=-5x^4+2x^2-8x+\dfrac{1}{2}-4x^4-2x^3+5x^2+6x-\dfrac{3}{2}=-9x^4-2x^3+7x^2-2x-1\)
a)
`P(x)=7x^3+(4x^2-3x^2)-x+5=7x^3+x^2-x+5`
`Q(x)=-7x^3-x^2+2x+(6-8)=-7x^3-x^2+2x-2`
b)
`P(x)+Q(x) = 7x^3+x^2-x+5-7x^3-x^2+2x-2`
`=(7x^3-7x^3)+(x^2-x^2)+(2x-x)+(5-2)`
`=x+3`
`P(x)-Q(x)=7x^3+x^2-x+5-(-7x^3-x^2+2x-2)`
`= 7x^3+x^2-x+5+7x^3+x^2-2x+2`
`=(7x^3+7x^3)+(x^2+x^2)-(x+2x)+(5+2)`
`=14x^3+2x^2-3x+7`
c) `A(x) = P(x)+Q(x)=x+3`
`A(x)=0 <=> x+3=0 <=>x=-3`.
a, P(x)= 5+x\(^3\)-2x+4x\(^3\)+3x\(^2\)-10
=(5-10) + (x\(^3\) + 4x\(^3\)) - 2x + 3x\(^2\)
= -5 + 5x\(^3\) - 2x + 3x\(^2\)
sắp xếp : P(x) = -5 - 2x + 3x\(^2\) + 5x\(^3\)
Q(x)=4-5x\(^3\)+2x\(^2\)-x\(^3\)+6x+11x\(^3\)-8x
= 4 - (5x\(^3\)-x\(^3\)+11x\(^3\)) + 2x\(^2\) + (6x - 8x)
= 4 - 15x\(^3\) + 2x\(^2\) - 2x
Sắp xếp : Q(x) = 4 - 2x + 2x\(^2\) -15 x\(^3\)
b, P(x) + Q(x) = ( -5-2x+3x\(^2\)+5x\(^3\)) + (4-2x+2x\(^2\)-15x\(^3\))
= -5 -2x + 3x\(^2\) + 5x\(^3\) + 4 - 2x + 2x\(^2\) - 15x\(^3\)
= (-5 + 4) + (-2x-2x) + (3x\(^2\)+ 2x\(^2\)) + (5x\(^3\) - 15x\(^3\))
=- 1 -4x+ 5x\(^2\) - 10x\(^3\)
P(x) - Q(x) = (-5-2x+3x\(^2\)+5x\(^3\)) - (4-2x+2x\(^2\)-15x\(^3\))
= -5-2x+3x\(^2\)+5x\(^3\)- 4+2x-2x\(^2\)+15x\(^3\)
= (-5-4) + (-2x+2x) + (3x\(^2\)-2x\(^2\)) + (5x\(^3\)+15x\(^3\))
= -9 + x\(^2\) + 20x\(^3\)
a)P(x)=5x^3+3x^2-2x-5
Q(x)=5x^3+2x^2-2x+4
b)P(x)+Q(x)=10x^3+5x^2-4x-1
P(x)-Q(x)=x^2-9
c)x=3
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