Factorize:

28 – 31x – 5x2

Given,


28 – 31x – 5x2


Now first find the numbers whose-


Sum = - 31 and


Product = - 5 × 28 = 140


Required numbers are 35 and 4,


So we get;


28 – 31x – 5x2


= 28 + 4x – 35x – 5x2


= 4(7 + x) – 5x(7 + x)


= (7 + x)(4 – 5x)


36