Factorise the following : `(i) x^(2)+7x+12 " " (ii) x^(2)+18x+45 " " (iii) x^(2)-7x+12 " "(iv) x^(2)-25x-84` `

Factorise the following : x^(2)+7x+10

Factorise the following (i) 9x^(2)-12x+3 " " (ii) 9x^(2)-12x+4

Factorise the following (i) 9x^(2)-12x+3 (ii) 9x^(2)-12x+4

(i) x^(2)-7x+12=0 (ii) y^(2)+y-12=0

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

Without solving, find the nature of the roots of the following equations: (i) 3x^(2)-7x+5=0 . (ii) 4x^(2)+4x+1=0 . (iii) 3x^(2)+7x+2=0 . (iv) x^(2)+px-q^(2)=0 .

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

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

factorise i) 12x^(2)-7x+1 ii) 6x^(2)+5x-6