Question

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

5, -3, and -1 + 2i

Answer 1

how far did you get with this one @kdhdjhio ?

Answer 2

I can't figure this out along with like 4 others, I've tried but I just don't understand.

Answer 3

Do you agree that if x = 5 is a root of f(x), then x-5 is a factor of f(x)?

Answer 4

I think so

Answer 5

if x = -3 is a root, then the factor is ________ (fill in the blank)

Answer 6

hint: start with x = -3 and try to get everything to the left side. The right side should have 0

Answer 7

Ugh..I don't understand

Answer 8

x = -3
x+3 = -3+3 ... add 3 to both sides
x+3 = 0

so if x = -3 is a root, then x+3 is a factor

Answer 9

make sense?

Answer 10

Yes, that makes more sense

Answer 11

ok so if x = 5 is a root, then x-5 is a factor
if x = -3 is a root, then x+3 is a factor

so far we have the factors (x-5) and (x+3)

what do you get when you multiply out (x-5)*(x+3) ?

Answer 12

you can use FOIL or the box method. I prefer the box method

Answer 13

box method