Factorize `(i) (x^4+3x^2+4)`
`(ii) (x^4+5x^2+9)`

Factorize (i) (x^4+4) (ii) (x^2+(4)/(x^2)) (iii) (x^4+(1)/(x^4)+1)

Factorize 9x^(2)+12x+4

Factorize: (i) 2x^2+5x+3 (ii) 6x^2+5x-6

Factorize (i) (x^2-(y^2)/(100)) (ii)(100-9x^2) (iii)(49x^2-(1)/(4))

Factorize: 4x^2+12 x y+9y^2 (ii) x^4-10 x^2y^2+25 y^4 a^4-2a^2b^2+b^4

Determine whether (x-1) is a factor of the following polynomials: (i) x ^(3) +5x^(2) -10 x +4 (ii) x^(4) +5x^(2) -5x + 1

In each of the following two polynomials, find the value of a , if x+a is a factor. (i) x^3+a x^2-2x+a+4 (ii) x^4-a^2x^2+3x-a

In each of the following polynomials, find the value of a if x+a is a factor of (i) x^(3)+ax^(2)-2x+a+4 (ii) x^(4)-a^(2)x^(2)+3x-a

Factorize: x^(2)+8x+15 (ii) x^(4)+x^(2)+1 (iii) x^(4)+4

Differentiate the following w.r.tx (i) (5x^(2) +6)(2 x^(3) +4 ) (ii) sqrtx (x^(2) +7) (iii) (x^(2) +3 )(x^(4) - 9)