Question

PLEAAASEE HELP!!! @hero @perl @michele_laino

Answer 1

Write a polynomial FUNCTION of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -8, and 2 + 5i

f(x) = x4 - 6x3 - 20x2 + 122x - 928
f(x) = x4 - 19x2 + 244x - 928
f(x) = x4 - 6x3 + 20x2 - 122x + 928
f(x) = x4 - 61x2 + 244x - 928
@hero

Answer 2

They give you the solutions of the function:
x = 4
x = -8
x = 2 + 5i

There's one more solution though because complex solutions always occur in pairs, so
x = 2 - 5i

Now for each equation, move everything to one side:
x - 4 = 0
x + 8 = 0
x - 2 - 5i = 0
x - 2 + 5i = 0

Use the zero product property:
(x - 4)(x + 8)(x - 2 - 5i)(x - 2 + 5i) = 0

Then set it equal to f(x)
(x - 4)(x + 8)(x - 2 - 5i)(x - 2 + 5i) = f(x)

Now multiply the left side and expand the polynomial to express it in standard form.

Answer 3

HI

Answer 4

SATELLITE!!! OMGG!

Answer 5

hii! @satellite73

Answer 6

i sent you a message
how have you been?

Answer 7

great! thank you so much! it's been a while lol

Answer 8

also thank you so much! @Hero