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\(2x^4+x^3-22x^2+15x-36\)
\(=\left(2x^4-6x^3\right)+\left(7x^3-21x^2\right)+\left(-x^2+3x\right)+\left(12x-36\right)\)
\(=\left(x-3\right)\left(2x^3+7x^2-x+12\right)\)
\(=\left(x-3\right)\left(\left(2x^3+8x^2\right)+\left(-x^2-4x\right)+\left(3x+12\right)\right)\)
\(=\left(x-3\right)\left(x+4\right)\left(2x^2-x+3\right)\)
\(x^3+x^2+9x-10x^2-10x+25x+25\)
\(=x^2\left(x+1\right)-10x\left(x+1\right)+25\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2-10x+25\right)=\left(x+1\right)\left(x-5\right)^2\)
b) \(9x^3+6x^2+x\)
\(=x\left(9x^2+6x+1\right)\)
\(=x\left(3x+1\right)^2\)
c) \(x^4+5x^3+15x-9\)
\(=\left(x^4-9\right)+5x\left(x^2+3\right)\)
\(=\left(x^2-3\right)\left(x^2+3\right)+5x\left(x^2+3\right)\)
\(=\left(x^2+3\right)\left(x^2-3+5x\right)\)
a) \(x^2-y^2+10y-25\)
\(=x^2-\left(y^2-10y+25\right)\)
\(=x^2-\left(y-5\right)^2\)
\(=\left(x-y+5\right)\left(x+y-5\right)\)
A=x4+3x3-9x-9
=x4-9+3x3-9x
=(x2-3)(x2+3)+3x.(x2-3)
=(x2-3)(x2+3+3x)
p/ x4 - 9x3 + 22x2 - 9x + 1
= (x4 - 5x3 + x2) + (- 4x3 + 20x2 - 4x) + (x2 - 5x + 1)
= (x2 - 5x + 1)(x2 - 4x + 1)
q) x4 - 6x3 + 14x2 - 22x + 5
= (x4 - 4x3 + x2) + (- 2x3 + 8x2 - 2x) + (5x2 - 20x + 5)
= (x2 - 4x + 1)(x2 - 2x + 5)
a, = (x-2)^2 . (x+3)
b, = (x-5)^2.(x+1)
c, = (2x-3).(x^2+3x+5)
=9x^4-6x^3+21x^3-14x^2+57x^2-38x+60x-40
=(3x-2)(3x^3+7x^2+19x+20)
=(3x-2)(3x+4)(x^2+x+5)
Tắt quá bạn