Question

Solve by Factorisation x²+5x+6=0
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Answer 1

Answer:

The factors of x²+5x+6=0 are (x+2) and (x+3)

Step-by-step explanation:

We are given the expression x²+5x+6=0 if we compare to a general quadratic equation, which is of the form ax²+bx+c=0

We will see that here c=6

While factorizing we need to consider this c

if c is a positive quantity then we need to break bx in such a way that the 2 quantities we are breaking can give  when multiplied and b when added

as c=6

Lets factorize this we will get 3,2 now if we multiply 3 and 2 we will get 6 and if we add we will get 5

Thus we can also write the given expression as

x²+3x+2x+6=0

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

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