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Multiplying Binomials

Key Takeaways:

  • Distributive property or "Punnett square" could be used to solve

  • When using box method, be sure to:

    • Combine like terms​

    • Write final answer in standard form (ax^2 + bx + c)

  • Carrying the sign is crucial!

Practice Questions

Multiply the following binomials to determine an equivalent polynomial.

1. (2x + 1) (3x + 1)

2. (4y + 5) (10y + 7)

3. (3z - 5) (3z + 4)

4. (6x + 7) (8x + 1)

5. (w - 4) (w - 4)
6. (19d - 2) (-5d + 5)

7. (t - 20) (-t - 4)

8. (-3x - 10) (-15x - 5)

9. (-19y +10) (9x - 1)

10. (-4xy + 13) (20x + 2)

Answer Key

1. 6x^2 + 5x + 1

2. 40y^2 + 78y + 35

3. 9z^2 - 3z - 20

4. 48x^2 + 62x + 7

5. w^2 - 8w +16
6. -95d^2 + 105d - 10

7. -t^2 + 16t + 80

8. 45x^2 + 165 + 50

9. -171xy + 90x +19y - 10

10. -80x^2y - 8xy + 260x + 26
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