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College Algebra / Unit 2   Alg 082 short lesson, about 20 seconds

The Greatest Common Factor

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The idea

The greatest common factor of polynomials is the largest polynomial that divides evenly into each of them.

In practice

For 12x³ and 18x², the GCF is 6x²: 6 is the largest shared coefficient factor, x² the largest shared power.

Where people slip

Take the smallest exponent on each shared variable.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Builds on

  • Nothing. This is a starting point.

Unlocks

  • Nothing yet depends on this.

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