Question

Exercise 11.4
Factorise the followin
1. (i) x2 + 3x + 2
3. (i) y2 – 5y - 24​

Answer 1

Answer:

1.(i)x²+3x+2

x²+x+2x+2

(x²+x)+(2x+2)

x(x+1)+2(x+1)

(x+1)(x+2)

3.(i)y²-5y-24

y²-8y+3y-24

(y²-8y)+(3y-24)

y(y-8)+3(y-8)

(y-8)(y+3)

Answer 2

Step-by-step explanation:

x2+3x+2

Middle term separation

=x2+2x+x+2

now,taking commons from both

=x(x+2)+1(x+2)

=(x+2) (x+1)

comparing both sides to 0 we get

x+2=0 x+1=0

x=-2 x=-1

3. y2-5y-24

middle term separation

=y2-8y+3y-24

=y(y-8)+3(y-8)

=(y-8) (y+3)

comparing both sides to 0 we get

y-8=0 y+3=0

y=8 y=-3