[" (11) "x^(2)+13x^(2)+32x+20" ,g "],[" (lii) "x^(3)-10x^(2)-53x-42]

Factorise (i) x ^(2) - 2x ^(2) - x +2 (ii) x ^(3) - 3x ^(2) - 9x -5 (iii) x ^(3) + 13 x ^(2) + 32 x + 20 (iv) y ^(3) + y ^(2) -y -1

(2x - 32x^(3)) = ?

Find the equations of the tangent and normal to the given curves at the indicated points : (i) y=x^(4)-6x+13x^(2)-10x+5" at "(0, 5) (ii) y=x^(4)-6x^(3)+13x^(2)-10x+5" at "(1, 3) . (iii) y= x^(3)" at " (1, 1) (iv) y=x^(2)" at " (1, 1) (v) x =cost, y = sin t" at "y=(pi)/(4) .

Factorise : x^3 -10x^2 - 53x -42 .

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

x^(3)+13x^(2)+32x+20 divided by x+1