Question

what are the main point that we should have to learn while solving middle term splitting questions​

Answer 1

Answer:

o find two numbers such that their sum is – 21 and the product 108.

Clearly, – 21 = – 12– 9 and – 12 × – 9 = 108

x2 – 21 x + 108 = x2 – 12 x – 9x + 108

= (x2 – 12 x) – (9x– 108)

= x(x – 12) – 9 (x – 12) = (x–12) (x – 9)

Answer 2

Step-by-step explanation:

Take x²+5x+6 for example

Here is what I do for middle term splitting,

Try to break the constant term of the binomial into two factors.

Example: 6 = 3×2 = 6×1

Then,

try to add or subtract these factors to obtain the coefficient of x.

Like here 5 = 3+2

Hence,

x² + 2x + 3x + 6

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

=(x+2)(x+3)

If problem is bigger like the constant term can be broken into many two terms,

then take help of Discriminant formula( but there are only few of such questions where factorization is time consuming).

Thanks!