Masharti muhimu Sura ya 07: Kuzingatia

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Factoring: Kuzingatia ni kugawanya bidhaa katika mambo; kwa maneno mengine, ni mchakato wa reverse wa kuzidisha.

Mkuu Kawaida Factor: Sababu kubwa ya kawaida ni kujieleza kubwa ambayo ni sababu ya maneno mawili au zaidi ni sababu kubwa ya kawaida (GCF).

Perfect Square Trinomials Pattern: Kama $a$ na $b$ ni idadi halisi,
$a^2 + 2ab + b^2= (a + b)^2 \qquad a^2 - 2ab + b^2 = (a - b)^2$

Mkuu Polynomials: Polynomials ambayo haiwezi kuhesabiwa ni polynomials mkuu.

Jumla na Tofauti ya Cubes Pattern

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$

Zero Bidhaa Mali: Mali ya Bidhaa ya Zero inasema kwamba, ikiwa bidhaa ya kiasi mbili ni sifuri, angalau moja ya kiasi ni sifuri.