Question

PLEASE HELP ! I Will Give Metals !
What polynomial has roots of -6, -4, and 1?

Answer 1

@ganeshie8

Answer 2

@phi

Answer 3

@Callisto

Answer 4

@amistre64

Answer 5

@beccaboo333

Answer 6

@robtobey

Answer 7

@experimentX

Answer 8

@Luigi0210

Answer 9

@RadEn

Answer 10

@radar

Answer 11

roots of -6, -4, and 1
means
x= -6, x=-4 and x=1
or
x+6 = 0, x+4=0 and x-1=0
multiply all together:
(x+6)(x+4)(x-1)=0

that is your polynomial.
multiply it out to put it into "standard form"

Answer 12

so i'd do distributive property right now?

Answer 13

I got x3 + x2 - 26x + 24, am i right?

Answer 14

@phi

Answer 15

if you multiply just the numbers part you get 6*4*-1= -24
I would expect a -24 in the answer.

Answer 16

hmm, so x3 - x2 - 26x - 24 ?

Answer 17

what do you get for
(x+6)(x+4)
?

Answer 18

x2 + 4x + 6x + 24

Answer 19

@phi

Answer 20

now combine 4x + 6 x
4 x's plus 6 x's is how many x's ?

Answer 21

10

Answer 22

10x

Answer 23

so x2 + 10x + 24 ?

Answer 24

yes. now multiply by (x-1)
\[ (x^2 +10x+24)(x-1) \]

Answer 25

i got x3 - x2 + 10x - 10 + 24x + 24

Answer 26

and then after combining like terms

Answer 27

you should re-do it. If we distribute, we can write it like this
\[ (x^2 +10x+24)(x-1) \\
x^2(x-1) +10x(x-1) + 24(x-1) \]

Answer 28

okay, i thought i was doing something wrong

Answer 29

you get
\[ x^3 - x^2 + 10x\cdot x + 10x \cdot -1 + 24x + 24 \cdot -1 \]
or
\[ x^3 - x^2 + 10x^2 -10x +24x -24\]

now combine like terms

Answer 30

thats exactly what i got ! ^_^

Answer 31

i got x3 + 9x2 + 14x - 24

Answer 32

yes, that looks good

Answer 33

Awesome, thanks ! could you possibly help me with one more?

Answer 34

you must have posted a typo up above, because you had +24 the first time.

Answer 35

oh i hadn't noticed that. I guess i did.

Answer 36

could you help with one more?

Answer 37

please make it a new post.

Answer 38

okay