which of the following is a polynomial with roots 3,5i, and -5i​ f(x)=x^3-3x^2+25x-75 f(x)=x^3-3x^2+15x-25

Question

which of the following is a polynomial with roots 3,5i, and -5i​

f(x)=x^3-3x^2+25x-75

f(x)=x^3-3x^2+15x-25

f(x)=x^3-15x^2+25x-75

f(x)=x^3-3x^2+15x-75

in progress 0
Clara 1 week 2021-09-12T05:14:28+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T05:16:04+00:00

    Answer:

    f(x)=x^3-3x^2+25x-75

    Step-by-step explanation:

    Solve for x:

    x^3 – 3 x^2 + 25 x – 75 = 0

    The left hand side factors into a product with two terms:

    (x – 3) (x^2 + 25) = 0

    Split into two equations:

    x – 3 = 0 or x^2 + 25 = 0

    Add 3 to both sides:

    x = 3 or x^2 + 25 = 0

    Subtract 25 from both sides:

    x = 3 or x^2 = -25

    Take the square root of both sides:

    Answer:  x = 3 or x = 5 i or x = -5 i

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )