Posted by **t** on Tuesday, September 27, 2011 at 3:24pm.

A basic fact of algebra states that c is a root of a polynomial f(x) if and only if f(x) = (x-c)g(x) for some polynomial g(x). We say that c is a multiple root if f(x) = [(x-c)^2](h(x)) where h(x) is a polynomial.

Show that c is a multiple root of f(x) if and only if c is a root of both f(x) and f'(x)

## Answer This Question

## Related Questions

- algebra!!!! please help me!!!! - A number is called algebraic if there is a ...
- Math (Algebra) - A number is called algebraic if there is a polynomial with ...
- math - find a polynomial with integer coefficients such that square root of 3 + ...
- math - find a polynomial with integer coefficients such that square root of 3 + ...
- math - hi my name is hedi and i am in serious need with help with some math ...
- College Algebra - I need some help with a handful of questions. I need to see ...
- College Algebra - I need some help with a handful of questions. I need to see ...
- College Algebra help please - I need some help with a handful of questions. I ...
- MATH - if alpha and beta are zeroes of the polynomial x2-5x+6,then find the ...
- MATH - Which expression is a polynomial???? A: 11 0ver the square root of x B: ...

More Related Questions