Imaginary Solutions

f(x) = 4x⁵ + 5x⁴ is pictured. The degree is​ (a)   . There are ​ two zeros and they are (in words) ​ (b)   . The multiplicities are ​ (c)   . The degree and multiplicities ​ (d)   . There are ​ (e)   imaginary solutions.

• 5

• cross and long bounce

• 1 and 4

• match

• don't match

• 2 and 3

• bounce and long cross

• 0

• 2

Assume this graph is a cubic. How many imaginary solutions does it have?

• 2i√6

• 8i√3

• -2√6

• -2i√6

• i

• -1

• 1

• -i

33 = 18 - 3x²

• x = ±5i

• x = ±i√5

• x = ±√5

• x = i√5

• 7

• -7

• 7i

• -7i

• 6i√5

• -8√5

• 8i√5

• -8i√5

• 
• 
• 
• 

x² + 36 = 0

• x = ±6

• x = 6i

• x = -6

• x = ±6i

Which sets does this number belong to: 3i

• Complex Numbers

• Real Numbers

• Imaginary Numbers

• Rational Numbers

• Irrational Numbers