Question

Enter the number of complex zeros for the polynomial function in the box.

f(x)=x4+5x2+6

Answer 1

4

Explanation:

Answer 2

• 4

Explanation:

Given function

• f(x)=x⁴+5x²+6

Zeros of the function:

• x⁴+5x²+6 = 0
• (x²)² + 2x² + 3x² + 6= 0
• (x² + 2)(x² + 3) = 0

1. x²+ 2 = 0

• x²= -2

• x₁,₂ = ±√2i

2. x² + 3 = 0

• x² = -3
• x₃,₄ = ±√3i

As we see there are 4 complex zeros