Factorize: 2x2 – 17x – 30 – InterviewSolution

1.	Factorize: 2x2 – 17x – 30
Answer» Given, 2x² – 17x – 30 Now first find the numbers whose Sum = - 17 and Product = - 30 × 2 = - 60 Required numbers are 20 and 3, So we get; 2x² – 17x – 30 = 2x² – 20x + 3x – 30 = 2x(x – 10) + 3(x – 10) = (x – 10)(2x + 3)

Factorize: 2x2 – 17x – 30

Answer»

Given,

2x² – 17x – 30

Now first find the numbers whose

Sum = - 17 and

Product = - 30 × 2 = - 60

Required numbers are 20 and 3,

So we get;

2x² – 17x – 30

= 2x² – 20x + 3x – 30

= 2x(x – 10) + 3(x – 10)

= (x – 10)(2x + 3)