Polynomial Zeros and Multiplicity Factoring

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Unfactorable

3x² - 75

• 3( x + 5 ) ( x - 5 ) 

• Prime

• ( x + 5 ) ( x - 5 ) 

• 3( x - 5 ) ( x - 5 ) 

• (x+1)(x +1)

• (x - 1)(x - 1)

• prime

• (x + 1)(x - 1)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

How does a multiplicity of 2 affect the graph?

• cross

• bounce

• wiggle (change direction)

Which root has even multiplicity?

• 1
• -4
• -1
• 2

• Zero: 1, Multiplicity: 2; Zero: -2, Multiplicity: 1

• Zero: -1, Multiplicity: 2; Zero: 2, Multiplicity: 1

• Zero: 1, Multiplicity: 1; Zero: -2, Multiplicity: 2

• Zero: 3, Multiplicity: 3; Zero: -1, Multiplicity: 2

• Zero: -3, Multiplicity: 3; Zero: 1, Multiplicity: 2

• Zero: 3, Multiplicity: 2; Zero: -1, Multiplicity: 3