Question

Factorise: x² + 11x – 60 using middle term splitting method​

Answer 1

Heya!Mate❤

The equation is

x² + 11x – 60

x² + 15x-4x - 60

x(x+15) -4(x+15)

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

x= -15,4

(-15 not possible bcoz negetive so answer is +4)

Kindly follow me and thank my answers, Mark brainliest

Answer 2

Solution :-

Given ,

p(x) = x² + 11x - 60

Putting p(x) = 0

→ x² + 11x - 60 = 0

Now , splitting the middle term

→ x² + 15x - 4x - 60 = 0

Taking common

→ x(x + 15) - 4(x + 15) = 0

→ (x + 15)(x - 4) = 0

Now , either x + 15 = 0 or x - 4 = 0

Then ,

x + 15 = 0

x = - 15

x - 4 = 0

x = 4

Hence , x = -15 or 4

The given question can be done in other methods

like :

• By using quadratic formula
• By using PQ formula
• By completing the square