Question

solve these ASAP please...​

Answer 1

Question

Factorise

(I) x²+5x+6

(ii)x²+10x+24

(iii)x²+12x+27

(iv)x²+15x+56

(v)x²+19x+60

(vi)x²+13x+40

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

(I) x²+5x+6

x²+3x+2x+6

=>x(x+3)+2(x+3)

=>(x+2)(x+3)=0

x=-2,-3

(ii)x²+10x+24

=>x²+6x+4x+24

=>x(x+6)+4(x+6)

=>(x+4)(x+6)=0

x=-4,-6

(iii)x²+12x+27

=>x²+9x+3x+27

=>x(x+9)+3(x+9)

=>(x+3)(x+9)=0

x=-3,-9

(iv)x²+15x+56

=>x²+7x+8x+56

=>x(x+7)+8(x+7)

=>(x+8)(x+7)=0

x=-8,-7

(v)x²+19x+60

=>x²+15x+4x+60

=>x(x+15)+4(x+15)

=>(x+4)(x+15)=0

x=-4,-15

(vi)x²+13x+40

=>x²+8x+5x+40

=>x(x+8)+5(x+8)

=>(x+5)(x+8)=0

x=-5,-8