Question

Friends please answer my question. What is middle term splitting in factorisation?​

Answer 1

Answer:

factorization main theme is to split given expression as the product of some variables or monomials...

if we one example

x^2+5x+6

if 5x split as 4x+x there is no use..

by splitting 5x as 2x and 3x only the factors may get...

here we should compare the product of (x^2 term and constant term )

here 1 and 6...so we can Assume splitting terms product is equal to the x^2 term and constant term

x^2+3x+2x+6

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

here we get common factor (x+3)

then only we can write as ..

(x+3)(x+2)

...if we split 6x as 5x and x we can't get like above...

hope ig helps you

Answer 2

Middle term splitting is in the form of ax²+bx + c, where a, b and c are constant integers and x is a variable. To factorise this expression, we have to find two numbers such that their product is the product of a and c and the sum or difference of the two numbers is equal to b.

EXAMPLE:

x²+11x+30

we have to find two numbers whose sum is 11 and product is 30*1= 30.

clearly those numbers are 6 and 5.

x²+6x+5x+30

x(x+6)+5(x+6)

(x+6)(x+5)

hopes it helps!