We need to factories and find the factors of the given quadratic equation
Let us try factorizing this polynomial using splitting the middle term method.
Factoring polynomials by splitting the middle term. Let us assume that the equation is in the form ax2 + bx + c
In this technique we need to find two numbers ‘a’ and ‘b’ such that a + b = -2 and ab = -8
On solving this we obtain, a = -4 and b = 2
Thus, the above expression can be written as:
x=4 and x= -2
Thus, x-4 and x+2 are the factors of the polynomial x2-2x-8.