Question

What polynomial has roots of -6, 1, and 4?

Answer 1

x^3 - 9x^2 - 22x + 24 is this right? @pooja195

Answer 2

@midhun.madhu1987 This one...

Answer 3

Suppose \(a, b \ and -c\) are the root of the polynomial, then polynomial is:
\[(x-a)(x-b)(x+c)\]

Answer 4

So am I right?

Answer 5

x^3 - 9x^2 - 22x + 24

Answer 6

If -6, 1 and 4 are roots, then (x+6) , (x-1) and (x-4) are the factors...

Multiply them to get the answer..

Answer 7

@bohotness

Answer 8

x^3 - 9x^2 - 22x + 24 is this the answer?

Answer 9

No, there is some mistake I think..

Answer 10

\[(x+6)(x^2 - 5x + 4) \implies x^3 - 5x^2 + 4x + 6x^2 - 30x + 24 \\ \implies x^2 + x^2 - 26x + 24\]

Answer 11

do you mean x^3 +x^2-26x+24?

Answer 12

Sorry, yeah that is \(x^3\)..

Answer 13

Thanks so much! :)

Answer 14

\(\dagger\)