3) $$ x^{2}-6 x+5 $$ 4) $$ x^{2}-5 x+6 $$ 5) $$ x^{2}-5 x-6 $$ 6) $$ x^{2}-x-6 $$

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Certainly! Let's factor each of the given quadratic expressions.

### 3) $$ x^{2} - 6x + 5 $$

**Objective:** Factor the quadratic expression.

**Method:**
1. Look for two numbers that multiply to **+5** (the constant term) and add up to **-6** (the coefficient of $$ x $$).
2. The numbers are **-1** and **-5** because:
   - $$(-1) \times (-5) = +5$$
   - $$(-1) + (-5) = -6$$

**Factored Form:**
$$ x^{2} - 6x + 5 = (x - 1)(x - 5) $$

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### 4) $$ x^{2} - 5x + 6 $$

**Objective:** Factor the quadratic expression.

**Method:**
1. Look for two numbers that multiply to **+6** and add up to **-5**.
2. The numbers are **-2** and **-3** because:
   - $$(-2) \times (-3) = +6$$
   - $$(-2) + (-3) = -5$$

**Factored Form:**
$$ x^{2} - 5x + 6 = (x - 2)(x - 3) $$

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### 5) $$ x^{2} - 5x - 6 $$

**Objective:** Factor the quadratic expression.

**Method:**
1. Look for two numbers that multiply to **-6** and add up to **-5**.
2. The numbers are **-6** and **+1** because:
   - $$(-6) \times (+1) = -6$$
   - $$(-6) + (+1) = -5$$

**Factored Form:**
$$ x^{2} - 5x - 6 = (x - 6)(x + 1) $$

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### 6) $$ x^{2} - x - 6 $$

**Objective:** Factor the quadratic expression.

**Method:**
1. Look for two numbers that multiply to **-6** and add up to **-1**.
2. The numbers are **-3** and **+2** because:
   - $$(-3) \times (+2) = -6$$
   - $$(-3) + (+2) = -1$$

**Factored Form:**
$$ x^{2} - x - 6 = (x - 3)(x + 2) $$

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**Summary of Factored Forms:**
1. $$ x^{2} - 6x + 5 = (x - 1)(x - 5) $$
2. $$ x^{2} - 5x + 6 = (x - 2)(x - 3) $$
3. $$ x^{2} - 5x - 6 = (x - 6)(x + 1) $$
4. $$ x^{2} - x - 6 = (x - 3)(x + 2) $$

If you need further assistance or have more questions, feel free to ask!
Here are the factored forms of the given quadratic expressions: 1. $$ x^{2} - 6x + 5 = (x - 1)(x - 5) $$ 2. $$ x^{2} - 5x + 6 = (x - 2)(x - 3) $$ 3. $$ x^{2} - 5x - 6 = (x - 6)(x + 1) $$ 4. $$ x^{2} - x - 6 = (x - 3)(x + 2) $$

3) \( x^{2}-6 x+5 \) 4) \( x^{2}-5 x+6 \) 5) \( x^{2}-5 x-6 \) 6) \( x^{2}-x-6 \)

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