Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -14, and 5 + 8i

Answer 1

Since it has 3 roots, so it must be a polynomial equation of degree 3.

Now, when roots are given the equation should be written in this manner:
(x-4)* (x+14)* (x-(5+8i))=0

Now, multiply and simplify.

NB: for an equation with roots 'a', and 'b' it is written like this : (x-a)*(x-b)=0
Same principle applies.

Answer 2

i need to know how to simplify (x-(5-8i)) (x-(5+8i))

Answer 3

Simply multiply... remember that i*i or i^2= -1... otherwise you shall have the terms x, and in your equation. just try multiplying now. to make it easier, think that i is another variable like x, with the property i*i=-1

Answer 4

i know but i keep getting an i...

Answer 5

x^2-10x+89 shall be the equation. You're multiplying wrongly.

Answer 6

i got it thank you!!:)

Answer 7

My medal?!