Write an equation for the polynomial function that has 2 and -3 + 5i as zero

Step-by-step explanation:

We want to write an equation for the polynomial function with roots;

and

Note that complex roots come in pairs and in conjugates.

Therefore

is also a root.

By the factor theorem:

(x-2), (x+3+5i), and (x+3-5i) are factors of the polynomial.

Let p(x) be the polynomial, then in factored form.

We expand now to get:

Simplify now

We expand further;

Area of sector = 102.6 feet squared

Step-by-step explanation:

Given:

Radius of circle = 14 ft

Angle θ = 60°

Find:

Area of sector

Computation:

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared