Question

polynomial factorise 6x² + 5x - 6 with steps (9th standerd)​

Answer 1

this can be easily done by splitting the mid term,

$6x^2+5x-6\\=6x^2+9x-4x-6\\=3x(2x+3)-2(2x+3)\\=(2x+3)(3x-2)$

if you want help finding how to split the term,

well first compare the given polynomial with the standard polynomial

$ax^2+bx+c$

so we get 'a' = 6 , 'b' = 5 and 'c' = -6.

to split the mid term we need 2 numbers such that there sum is equal to 'b'

and product of both should also be equal to 'a*c'

So, here we see we need two numbers such that there sum should be 5 and product should be -36. Only possible pair of such numbers is 9 and -4. As 9+ (-4) gives 5 and 9 * (-4) gives -36. Hence we split in that way and get the answer.

pls mark as brainliest if it helps :D Also it took long time to explain :P