cho da thuc : g(x) = x^3+2x^2-2x-12
Phan tich g(x) thanh tich cua nhi thuc x-2 voi mot tam giac bac 2
phân tích da thức c=x64 -x^3+2x^2-11x -5 thanh tich 2 tam thuc bac 2
cho da thuc f(x)+3x^2+2x-5va g(x)=-3x^2-2x+2 tinh k=f+g va tim bac cua k
`K(x)=F(x)+G(x)`
`K(x)=(3x^2+2x-5)+(-3x^2-2x+2)`
`= 3x^2+2x-5-3x^2-2x+2`
`= (3x^2-3x^2)+(2x-2x)+(-5+2)`
`= -3`
Bậc của đa thức: `0`
`@` `\text {dnammv}`
cho m la so nguyen duong nho hon 30.tim m de da thuc x2+mx+72 viet thanh tich 2 da thuc bac nhat voi he so nguyen
phan tich da thuc thanh nhan tu (x^2+2x+3).(2x^2+2x+5)-8
Phan tich da thuc thanh nhan tu (1+2x)(1-2x)-x(x+2)(x-2)
\(\left(1+2x\right).\left(1-2x\right)-x.\left(x+2\right).\left(x-2\right)\))
\(=1-\left(2x\right)^2-x.x^2-2^2\)
\(=1-4x^2-x^3-4\)
Ko bt có đúng ko nữa
( 1 + 2x ) ( 1 - 2x ) - x ( x + 2 ) ( x - 2 )
= 1 - 4x2 - x ( x2 - 4 )
= 1 - 4x2 - x3 + 4x
= - ( x3 + 4x2 - 4x - 1 )
= - ( x3 - x2 + 5x2 - 5x + x - 1 )
= - [ x2 ( x - 1 ) + 5x ( x - 1 ) + ( x - 1 ) ]
= - ( x - 1 ) ( x2 + 5x + 1 )
phan tich da thuc thanh nhan tu (x^2-x+2)^2- 2x^2 +2x -7
cho m la so nguyen duong nho hon 30. co bao nhieu gia tri cua m de da thuc x2+mx+72 la tich cua 2 da thuc bac nhat voi he so nguyen ?
phan tich da thuc thanh nhan tu: x(x+2)(x^2+2x+2)+1
x(x+2)(x^2+2x+2)+1 = (x^2+2x)(x^2+2x+1)+1
Đặt x^2+2x+1=y ta được:
(y-)(y+1)+1=y^2-1+1=y^2
= (x^2+2x+1)^2
= ( x + 1 )^4
phan tich da thuc thanh nhan tu
x^4+x^3+2x^2+x+1
x4+x3+2x2+x+1=x4+x3+x2+x2+x+1=(x4+x3+x2)+(x2+x+1)
=x2(x2+x+1)+(x2+x+1)
=(x2+x+1)(x2+1)
=(x^4+2x^2+1)+(x^3+x)
=(x^2+1)^2+x(x^2+1)
(x^+1)*(x^2+1+x0