Question

write a polynomial function with given roots :-
3+i , 2 and -4

Answer 1

This will be a fourth degree polynomial. One root is (x - 2), another is (x + 4) another is (x - (3 + i)) and because you have a - (3 + i), you also have to have a + (3 + i).

Answer 2

So here they are, all in a row!

Answer 3

ok

Answer 4

(x - 2)(x + 4)(x - [3 + i])(x + [3 + i])

Answer 5

if \(a+bi\) is a root, so is \(a-bi\)

Answer 6

Otherwise, the function would not have real coefficients

Answer 7

Unless this is supposed to be a complex polynomial

Answer 8

ahh.........i get it

Answer 9

So let's multiply those out, 2 sets of parenthesis at a time. Let's work with the first 2, becasue they do not have the imaginary i in them.

Answer 10

uhh wait

Answer 11

(x - 2)(x + 4) =\[x ^{2}+2x-8\]

Answer 12

x^2+2x-8

Answer 13

ok gotcha......next thing?

Answer 14

wait for what? O right! That's right, you got it! Now let'ss do the others.