Factorize: 7y2 – 19y – 6 – InterviewSolution

1.	Factorize: 7y2 – 19y – 6
Answer» Given, 7y² – 19y – 6 Now first find the numbers whose Sum = - 19 and Product = - 6 × 7 = - 42 Required numbers are 21 and 2, So we get; 7y² – 19y – 6 = 7y² – 21y + 2y – 6 = 7y(y – 3) + 2(y – 3) = (y – 3)(7y + 2)

Factorize: 7y2 – 19y – 6

Answer»

Given,

7y² – 19y – 6

Now first find the numbers whose

Sum = - 19 and

Product = - 6 × 7 = - 42

Required numbers are 21 and 2,

So we get;

7y² – 19y – 6

= 7y² – 21y + 2y – 6

= 7y(y – 3) + 2(y – 3)

= (y – 3)(7y + 2)