Sūtra 16 of 16

Guṇakasamuccayaḥ

The factors of the sum is equal to the sum of the factors

Verifying factorisation of polynomials.

When to use

Cross-checking factorisations.

How it works

Sum of coefficients on both sides of a factorisation must match — a quick sanity test.

Memory formula

Check factorisation: factor-sum pattern must equal original coefficient sum.

Worked examples

Problem 1

Verify x² + 7x + 12 = (x+3)(x+4)

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