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Factorize following expressions (i) x^...

Factorize following expressions
(i) `x^(3)-6x^2+11x-6`" (ii)" 2x^3+9x^2+10x+3`
(iii) `2x^3-9x^2+13x-6" (iv)" x^6-7x^2-6`

Text Solution

Verified by Experts

The correct Answer is:
(i)`(x-1)(x-2)(x-3)" (ii)"(x+1)(x+3)(2x+1)`
(iii)`(x-1)(x-2)(x-3)" (iv)"(x^2+2)(x-sqrt3)(x^2+1)(x+sqrt3)`
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Factorize :x^(3)-6x^(2)+11x-6

f(x)=x^(3)-6x^(2)+11x-6,g(x)=x^(2)-3x+2

f(x)=x^(3)-6x^(2)+11x-6;g(x)=x-3

Factorise: (i) x^(3)-2x^(2)-x+2 (ii) x^(3)-3x^(2)-9x-5 (iii) x^(3)+13x^(2)+32x+20 (iv)

Divide: x^(3)-6x^(2)+11x-6 by x^(2)-4x+3

Factorize 9x^(3)-6x^(2)+12x

Factorise (i) x^(2)+9x+18 " " (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 " " (iv) 84-2r-2r^(2)