How to simple form please

Answer:
roots are -3,2 for 2)
roots are 5,3 for 3)
roots are -3,-4 for 4)
The solution of the given questions are below,
1) (x+5)(x-2)
2) (x-3)(x+2)
3) (x+5)(x+3)
4) (x-4)(x-3)
Step-by-step explanation:
1) [tex]x^{2}[/tex] + 3x -10
= [tex]x^{2}[/tex] + 5x - 2x -10
= x( x+5) -2(x+5)
=(x+5)(x-2)
2) [tex]x^{2}[/tex] - x - 6
= [tex]x^{2}[/tex] - 3x +2x - 6
= x(x -3) +2( x-3)
=(x-3)(x+2)
3) [tex]x^{2}[/tex] +8x +15
= [tex]x^{2}[/tex] +5x + 3x +15
= x(x+5) +3(x+5)
= (x+5)(x+3)
4) [tex]x^{2}[/tex] -7x +12
= [tex]x^{2}[/tex] - 4x -3x +12
= x(x-4) -3(x -4)
=(x-4)(x-3)