Question

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Match the trinomials with their factors.

a2 + a − 20
a2 − 9a + 20
a2 − 8a − 20
a2 − 12a + 20
a2 − 19a − 20
Factors
Trinomials
(a − 4)(a − 5)
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(a − 10)(a − 2)
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(a − 4)(a + 5)
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(a − 10)(a + 2)
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Answer 1

Let's match the trinomials with their corresponding factors.

1. **Trinomial: \( a^2 + a - 20 \)**
- Factors: \( (a - 4)(a + 5) \)

2. **Trinomial: \( a^2 - 9a + 20 \)**
- Factors: \( (a - 4)(a - 5) \)

3. **Trinomial: \( a^2 - 8a - 20 \)**
- Factors: \( (a - 10)(a + 2) \)

4. **Trinomial: \( a^2 - 12a + 20 \)**
- Factors: \( (a - 10)(a - 2) \)

5. **Trinomial: \( a^2 - 19a - 20 \)**
- No factors match provided items.

Here's the correct matching:

- \( a^2 + a - 20 \) ➔ \( (a - 4)(a + 5) \)
- \( a^2 - 9a + 20 \) ➔ \( (a - 4)(a - 5) \)
- \( a^2 - 8a - 20 \) ➔ \( (a - 10)(a + 2) \)
- \( a^2 - 12a + 20 \) ➔ \( (a - 10)(a - 2) \)

The trinomial \( a^2 - 19a - 20 \) does not match to any factors provided.