Factorize: 28 – 31x – 5x2 – InterviewSolution

1.	Factorize: 28 – 31x – 5x2
Answer» 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)

Factorize: 28 – 31x – 5x2

Answer»

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)