Question

can someone help me with polynomials?

Answer 1

Please post your question. :)

Answer 2

ok . one sec

Answer 3

write a polynomial function in standard form with zeros at -3,-1 and 1

Answer 4

Do you understand this statement ?

If a polynomial has a zero 'a', then one of the factor is (x-a) .

Answer 5

so they would be opposite? like 3 would be -3??

Answer 6

Yes. So essentially if it has zeros at -3 , then one factor of it would be x-(-3) i.e. (x+3). Please be kind enough to tell the other two factors :)

Answer 7

here is the formula of a polynomila of given zeros
let \(z_0,z_1,....z_n\) be zeroes , then

\(\Huge f(x)=\prod_{i=0 }^{n} (x-z_i)\)

Answer 8

it would be 3,1,and -1?

Answer 9

You mean x+3,x+1,x-1, right ?

So yes, now simply multiply these three factors to get the polynomial.

Answer 10

a: (x-3)(x-1)(x+1)
B: (x+3)(x+1)(x-1)
c:x^3-3x^2-x+3
d: x^3+3x^2-x-3

Answer 11

those are teh answers

Answer 12

and ok 1 sec
i got -3

Answer 13

I think you are mistaking the zero and the factor. If the zero is -3, then factor is x+3. If zero is 3, then factor is x-3.

Answer 14

oh .-.

Answer 15

x+3,x+1,x-1

x-3,x-1,x+1?

Answer 16

The series which you have written above are the correct set of factors.
So when you multiply -

Answer 17

That is, x+3, x+1 and x-1 are the factors. And when you multiply the factors of a polynomial, you get the polynomial.

Answer 18

You now just need to simplify that expression. This is because standard form means - expressing the powers and all.

Answer 19

So what do you get ?

Answer 20

X^3,x,-x