Please help ASAP!!
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

3, -13, and 5 + 4i

Question

Please help ASAP!!
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

3, -13, and 5 + 4i

hero · Answer

If 3, -13, and 5 + 4i are the zeroes of the polynomials, then

x = 3
x = -13
x = 5 + 4i

Note that complex zeroes come in conjugate pairs so there's another zero:
x = 5 - 4i

Move everything to the left side
x - 3 = 0
x + 13 = 0
x - 5 - 4i = 0
x - 5 + 4i = 0

By zero product property:
(x - 3)(x + 13)(x - 5 - 4i)(x - 5 + 4i) = 0

anonymous · Answer

@Hero  then what is standard form?

hero · Answer

First multiply the factors together to find the polynomial expression.

anonymous · Answer

x^4-975

hero · Answer

Mind showing your work to demonstrate how you got that?

hero · Answer

I'm not sure I agree with your result

anonymous · Answer

I combined like terms

anonymous · Answer

@Hero