how to split middle term?

Asked by nachiket arora | 28th Nov, 2010, 12:00: AM

Expert Answer:

Dear student,
Following is the method of splitting the middle term of the quadratic equation ax2+bx+c=0, where a ≠ 0.
  1. Form the product “ac”  
  2. Find a pair of numbers b1 and b2 whose product is “ac” and whose sum is “b” (if you can’t find such numbers, it can’t be factored).
  3. Split the middle term using b1 and b2 – that is express the term bx as  b1x + b2x. Now  factor by grouping pairs of terms.

We hope that clarifies your query.

Regards,

Team

TopperLearning

Answered by  | 28th Nov, 2010, 05:04: PM

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