Factorising polynomials

Express as perfect square trinomial.

9x² -12x + 4

Factor the Difference of Squares

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x - 7y³)

• Not Factorable

Mathematical Equivalence

ON

• x²+25

• x²-25

• x²+10x+25

• x²-10x+25

Select ALL the polynomials that you can factor further

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• (x - 7) (x² +7x + 49)

• (x² + 1) (x - 343)
• x(x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Factor:

8 - 32z⁶

• prime

• 8(1 - 4z³)(1 - 4z³)

• 8(1 - 4z⁶)

• 8(1 + 2z³)(1 - 2z³)

Factor 𝑥³ + 27 completely.

• (𝑥 + 3) (𝑥² − 3𝑥 + 9)

• (𝑥 + 3) (𝑥² − 3𝑥 + 18)

• (𝑥 + 3) (𝑥² − 3𝑥 − 9)

• (𝑥 + 5) (𝑥 − 3)

Factor the polynomial shown below.