Math Is Fun Forum

ABC1234

Member

Registered: 2016-12-22

Posts: 20

Multivariable Polynomials

1) If (x,y) satisfies the simultaneous equations

and

, where x and y may be complex numbers, determine all possible values of

.

2)Determine a constant k such that the polynomial

is divisible by x+y+z.

Thank you!

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Multivariable Polynomials

---

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Multivariable Polynomials

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

ABC1234

Member

Registered: 2016-12-22

Posts: 20

Re: Multivariable Polynomials

Thank you!  I'm still kinda unsure how you solved for 2 though

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Multivariable Polynomials

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Multivariable Polynomials

---

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Multivariable Polynomials

---

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

ABC1234

Member

Registered: 2016-12-22

Posts: 20

Re: Multivariable Polynomials

I need help on this one as well:

Find all real x that satisfy

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Multivariable Polynomials

I think it is quite simple.

---

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}