Question

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Answer 1

• #1) 3 different roots, total 6
• #2) 3 different roots, total 9
• #3) 3 different roots, total 4

Explanation:

#1

The roots are:

• x - 3 = 0 ⇒ x = 3, multiplicity 2
• x + 1 = 0 ⇒ x = -1, multiplicity 3
• 2x + 5 = 0 ⇒ x = -2.5

#2

The roots are:

• x = 0, multiplicity 3
• x + 2 = 0 ⇒ x = -2
• x - 4 = 0 ⇒ x = 4, multiplicity 5

#3

The roots are:

• x² - 1 = 0 ⇒ (x + 1)(x - 1) = 0 ⇒ x = -1, x = 1
• x² + 4x + 4 = 0 ⇒ (x + 2)² = 0 ⇒ x + 2 = 0 ⇒ x = -1, multiplicity 2