Question

factorise : 1. 6x²+19x+15
2.10m²-31m-132
3.12x²+11x+2

Answer 1

1 Ans:x=-3/2,-5/3 . 6x^2+19x+15=0_ 6x^2+10x+9x+15=0_____ 2x(3x+5)+3(3x+5)=0________ (2x+3)(3x+5)=0 x=-3/2,-5/3. Similarly 2 Ans: x=11/2,-12/5 3 Ans: x=-1/4,-2/3

Answer 2

(i) 6x^2 +19x +15
or,6x^2+9x+10x+15
or,3x(2x+3) +5(2x+3)
or, (3x+5) (2x+3)
x=-5/3 OR x=-3/2

(ii) 10m^2-31m-132
or,10m^2-55m+24m-132
or,5m(2m-11)+12(2m-11)
or,(2m-11) (5m+12)
m=11/2 OR m=-12/5

(iii) 12x^2+11x+2
or,12x^2+3x+8x+2
or,3x(4x+1)+2(4x+1)
or, (4x+1) (3x+2)
x=-1/4 OR x=-2/3