Write a polynomial function that has a leading coefficient of 1, and the given zeros at 3, 5, and -i.

9514 1400 393

  p(x) = x^4 -8x^3 +16x^2 -8x +15

Step-by-step explanation:

Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...

  p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)

  p(x) = x^4 -8x^3 +16x^2 -8x +15

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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