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x3+6x2+11x+6 = x3+6x2+12x-x+8-2 = (x3+6x2+12x+8) - (x+2) = (x+2)3 - (x+2) = (x+2)[(x+2)2 - 1] = (x+2)(x+2-1)(x+2+1) = (x+2)(x+1)(x+3)
6x3 - 11x2 - x - 2
= 6x3 - 12x2 + x2 - 2x + x - 2
= ( 6x3 - 12x2 ) + ( x2 - 2x ) + ( x - 2 )
= 6x2( x - 2 ) + x( x - 2 ) + 1( x - 2 )
= ( x - 2 )( 6x2 + x + 1 )
a)18x2-12x
=3x(6x-4)
b)3x2-11x+6
=x(3x-11+6)
=x(3x-5)
c)x3+6x2+11x+6
=x2(x+23
\(18x^2-12x\)
\(=6x\left(3x-2\right)\)
\(3x^2-11x+6\)
\(=3x^2-9x-2x+6\)
\(=3x\left(x-3\right)-2\left(x-3\right)\)
\(=\left(x-3\right)\left(3x-2\right)\)
Sorry nhé, mk mới lớp 6 thui.
Nên ko bit làm, mong đừng giận.
Nhưng xin tk nhé, đang thiếu sp trầm trọng.
Ai tk mk mk sẽ tk lại !
chị vào câu hỏi tương tự
kham khảo nha
chúc chị
thành công trong
học tập
a) x3 - 6x2 + 11x - 6
= ( x3 - 2x2 ) - ( 4x2 - 8x ) + ( 3x - 6 )
= x2( x - 2 ) - 4x( x - 2 ) + 3( x - 2 )
= ( x - 2 )( x2 - 4x + 3 )
= ( x - 2 )( x2 - x - 3x + 3 )
= ( x - 2 )[ x( x - 1 ) - 3( x - 1 ) ]
= ( x - 2 )( x - 1 )( x - 3 )
b) x3 - 6x2 - 9x + 14
= ( x3 - x2 ) - ( 5x2 - 5x ) - ( 14x - 14 )
= x2( x - 1 ) - 5x( x - 1 ) - 14( x - 1 )
= ( x - 1 )( x2 - 5x - 14 )
= ( x - 1 )( x2 + 2x - 7x - 14 )
= ( x - 1 )[ x( x + 2 ) - 7( x + 2 ) ]
= ( x - 1 )( x + 2 )( x - 7 )
c) x3 + 6x2 + 11x + 6
= ( x3 + 2x2 ) + ( 4x2 + 8x ) + ( 3x + 6 )
= x2( x + 2 ) + 4x( x + 2 ) + 3( x + 2 )
= ( x + 2 )( x2 + 4x + 3 )
= ( x + 2 )( x2 + x + 3x + 3 )
= ( x + 2 )[ x( x + 1 ) + 3( x + 1 ) ]
= ( x + 2 )( x + 1 )( x + 3 )
e) x6 - 9x3 + 8
Đặt t = x3
bthuc <=> t2 - 9t + 8
= t2 - t - 8t + 8
= t( t - 1 ) - 8( t - 1 )
= ( t - 1 )( t - 8 )
= ( x3 - 1 )( x3 - 8 )
= ( x - 1 )( x2 + x + 1 )( x - 2 )( x2 + 2x + 4 )
a) \(x^2-x-2=x^2+x-2x-2=x\left(x+1\right)-2\left(x+1\right)\)
\(=\left(x+1\right)\left(x-2\right)\)
a) \(x^2-x-2=x^2-2x+x-2=x\left(x-2\right)+\left(x-2\right)=\left(x-2\right)\left(x+1\right)\)
b) \(x^3-19x-30==x^3+2x^2-2x^2-4x-15x-30=x^2\left(x+2\right)-2x\left(x+2\right)-15\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2+2x-15\right)=\left(x+2\right)\left(x-3\right)\left(x+5\right)\)
c) \(x^3-6x^2+11x-6=x^3-x^2-5x^2+5x+6x-6=x^2\left(x-1\right)-5x\left(x-1\right)+6\left(x-1\right)=\left(x-1\right)\left(x-2\right)\left(x-3\right)\)
a, \(x^3+6x^2+11x+6\)
\(=x^3+3x^2+3x^2+9x+2x+6\)
\(=x^2\left(x+3\right)+3x\left(x+3\right)+2\left(x+3\right)\)
\(=\left(x+3\right)\left(x^2+3x+2\right)\)
\(=\left(x+3\right)\left(x^2+x+2x+2\right)\)
\(=\left(x+3\right)\text{[}x\left(x+1\right)+2\left(x+1\right)\text{]}\)
\(=\left(x+3\right)\left(x+1\right)\left(x+2\right)\)
b, \(2x^3+3x^2+3x+2\)
\(=2x^3+2x^2+x^2+x+2x+2\)
\(=2x^2\left(x+1\right)+x\left(x+1\right)+2\left(x+1\right)\)
\(=\left(x+1\right)\left(2x^2+x+2\right)\)
c, \(x^3-4x^2-8x+8\)
\(=x^3+2x^2-6x^2-12x+4x+8\)
\(=x^2\left(x+2\right)-6x\left(x+2\right)+4\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2-6x+4\right)\)
\(x^3+6x^2+11x+6=\left(x+1\right)\left(x+2\right)\left(x+3\right)\)
x3+6x2-11x+6=(x+1)(x+2)(x+3)