Question

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

Answer 1

x3 - 3x2 - 22x + 24
x3 - x2 - 26x - 24
x3 + x2 - 26x + 24
x3 + 3x2 + 14x - 24

Answer 2

cna someone help me out?

Answer 3

Hey! :D

Answer 4

Hey :)

Answer 5

Okay so for example: (x-4)(x+5)=0 has roots x=4, -5

Answer 6

You set x-4=0 and solve for x you see

Answer 7

So if you know those are the roots, how can you apply this information to solve your question?

Answer 8

lemme think hold on a sec

Answer 9

No problem!

Answer 10

Hint: what are the roots of (x+4)(x-1) ?

Answer 11

\(\large {
x=\{-4,1,6\}\implies
\begin{cases}
x=-4\to x+4=0\to &(x+4)=0\\
x=1\to x-1=0\to &(x-1)=0\\
x=6\to x-6=0\to &(x-6)=0
\end{cases}
\\ \quad \\
(x+4)(x-1)(x-6)=\textit{original polynomial}
}\)

Answer 12

the roots of that are 4,-1?

Answer 13

would it be a?

Answer 14

hmm dunno... multiply them all three, see what you get

Answer 15

I get 24

Answer 16

24? and the "x" went MIA then

Answer 17

sorry is it x=24?

Answer 18

ahemm.. you're meant to multiply the binomials
then those will give you the original polynomial
thus multiply away :)