Sunday

December 21, 2014

December 21, 2014

Posted by **Sam** on Wednesday, October 10, 2012 at 2:19am.

- pre-ap Algebra 2 -
**Steve**, Wednesday, October 10, 2012 at 5:10am(x+2)(x-2)(x+1)(x-3) takes care of the integer roots.

Now, if √11 is a root, then (x-√11) is a factor, but that leaves a dangling √11, which will show up in the coefficients. So, you also need to include (x+√11), since

(x-√11)(x+√11) = x^2-121, which has rational coefficients.

So, the final polynomial is

f(x) = (x+2)(x-2)(x+1)(x-3)(x-√11)(x+√11)

and yu can expand that out if you like.

- pre-ap Algebra 2 -
**Steve**, Wednesday, October 10, 2012 at 5:11amoops. (x-√11)(x+√11) = x^2-11

**Answer this Question**

**Related Questions**

poloynomial function - Write a polynomial function f of least degree that has ...

Algebra - Can someone please explain how to do these problems. 1)write a ...

algebra 2 - write a polynomial function of least degree that has real ...

calculus--please help!! - I have two questions that I don't understand and need ...

Algebra II - write a fourth degree polynomial function a leading coefficient o 1...

Pre Calculus - 1. Find all rational zeros of the polynomial. Then determine any ...

math - Find a polynomial f(x) with leading coefficient 1 and having the given ...

pre-calculus - form a polynomial f(x) with real coefficients having the given ...

pre-calculus - form a polynomial f(x) with real coefficients having the given ...

college algebra - form a polynomial f(x) with real coefficients having the given...