phân tích đa thức thanh nhân tử
a 3x2 - 11x +6
b 8x2 + 10x - 3
c 8x2 - 2x -1
giải cụ thể minh vs nghe
cảm ơn các bạn nhiều
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a) 3x2 - 11x + 6
= 3x2 - 9x - 2x + 6
= 3x(x - 3) - 2(x - 3)
= (x - 3) (3x - 2)
b) 8x2 + 10x - 3
= 8x2 - 2x + 12x - 3
= 2x(4x - 1) - 3(4x - 1)
= (4x - 1) (2x - 3)
c) 8x2 - 2x - 1
= bó tay!!!
ok mk nha!!! 565464565657565878797624534534344565464513535465656756
\(1,2x^2-3x-2\)
\(=2x^2-4x+x-2\)
\(=2x\left(x-2\right)+\left(x-2\right)\)
\(=\left(2x+1\right)\left(x-2\right)\)
\(2,4x^2-7x-2\)
\(=4x^2-8x+x-2\)
\(=4x\left(x-2\right)+x-2\)
\(\left(4x+1\right)\left(x-2\right)\)
a: =(x^2+x)^2+4(x^2+x)-12
=(x^2+x+6)(x^2+x-2)
=(x^2+x+6)(x+2)(x-1)
b: =(x^2+8x)^2+22(x^2+8x)+120
=(x^2+8x+12)(x^2+8x+10)
=(x+2)(x+6)(x^2+8x+10)
c: =8x^2+12x-2x-3
=(2x+3)(4x-1)
a: (x^2+x)^2+4x^2+4x-12
=(x^2+x)^2+4(x^2+x)-12
=(x^2+x+6)(x^2+x-2)
=(x^2+x+6)(x+2)(x-1)
b: =(x^2+8x)^2+22(x^2+8x)+105+15
=(x^2+8x)^2+22(x^2+8x)+120
=(x^2+8x+10)(x^2+8x+12)
=(x^2+8x+10)(x+2)(x+6)
c: =8x^2+12x-2x-3
=(2x+3)(4x-1)
\(a,=\left(x-2\right)\left(9x^2y^2-6x^3y^2\right)=3x^2y^2\left(3-2x\right)\left(x-2\right)\\ b,=5x\left(x^2-y^2\right)+20x\left(x+y\right)=5x\left(x-y\right)\left(x+y\right)+20x\left(x+y\right)\\ =5\left(x+y\right)\left(x^2-xy+4x\right)\\ c,=8x^2+2x-12x-3=2x\left(4x+1\right)-3\left(4x+1\right)=\left(2x-3\right)\left(4x+1\right)\)
a, \(x^2-5x+6=x^2+x-6x+6=x\left(x-1\right)-6\left(x-1\right)=\left(x-1\right)\left(x-6\right)\)
b, \(3x^2+9x-30=3\left(x^2+3x-10\right)=3\left(x^2-2x+5x-10\right)\)
\(=3\left[x\left(x-2\right)+5\left(x-2\right)\right]=3\left(x-2\right)\left(x+5\right)\)
c, \(x^2+7x+10=x^2+2x+5x+10=x\left(x+2\right)+5\left(x+2\right)=\left(x+2\right)\left(x+5\right)\)
a)
\(3x^2-11x+6\)
\(=3x^2-9x-2x+6\)
\(=3x\left(x-3\right)-2\left(x-3\right)\)
\(=\left(x-3\right)\left(3x-2\right)\)
b)
\(8x^2+10x-3\)
\(=8x^2-2x+12x-3\)
\(=8x\left(x-\frac{1}{4}\right)+12\left(x-\frac{1}{4}\right)\)
\(=\left(8x+12\right)\left(x-\frac{1}{4}\right)\)
\(=\left(2x+2\right)\left(4x-1\right)\)
c)
\(8x^2-2x-1\)
\(=8x^2-4x+2x-1\)
\(=8x\left(x-\frac{1}{2}\right)+2\left(x-\frac{1}{2}\right)\)
\(=\left(x-\frac{1}{2}\right)\left(8x+2\right)\)
\(=\left(2x-1\right)\left(4x+1\right)\)
a. 3x^2-11x + 6
= 3x^2 - 9x - 2x +6
= 3x(x-3) - 2(x-3)
= (x-3)(3x-2)