We need to factorise the given equation
Given equation
x2 + 5x – 6
Let us try factorizing this polynomial using splitting the middle term method.
Factoring polynomials by splitting the middle term:
We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.
On solving this we obtain, a = 3 and b = 2
Thus, the above expression can be written as:
x2 + 5x – 6
= x2 +6x -x – 6
= x(x + 6) -1(x + 6)
= (x + 6)(x -1)
Thus, x+6 and x-1 are the factors of the polynomial x2 + 5x – 6.
