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Factor by grouping

Grade 10

What this lesson shows

Factor x cubed, plus 3 x squared, plus 2 x, plus 6. Four terms this time. And nothing divides into all four, so there is no common factor to pull out.

Try it yourself

Real questions from this lesson's worksheets — answers below each one.

  1. Factor x³ + x² + x + 1.
    Show answer
    (x² + 1)(x + 1)
  2. Factor x³ + 2x² + x + 2.
    Show answer
    (x² + 1)(x + 2)
  3. Factor x³ + x² + 2x + 2.
    Show answer
    (x² + 2)(x + 1)
  4. Factor x³ + 2x² + 2x + 4.
    Show answer
    (x² + 2)(x + 2)

Practise this every day

Eduyro gives your child a short daily worksheet on exactly this skill, and moves them on only once they have it. Watch the lesson, then build the fluency.

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