Johnathan - 11 months ago 51

Python Question

I am learning scientific computing with python. In the exercise, I am supposed to generate a polynomial by using its roots with this formula:

Here is my implementation:

`def poly(x,roots): #Pass real and/or complex roots`

x = symbols(x)

f = 1

for r in roots:

f = f*(x - r)

return expand(f)

When I test it:

`from sympy import expand`

poly('x',[(-1/2), 5, (21/5), (-7/2) + (1/2)*sqrt(73), (-7/2) - (1/2)*sqrt(73)])

I get:

`x**5 - 1.7*x**4 - 50.5*x**3 + 177.5*x**2 - 24.8999999999999*x - 63.0`

But I should get:

`10*x**5 - 17.0*x**4 - 505.0*x**3 + 1775.0*x**2 - 248.999999999999*x - 630.0`

Hence, everything is off by a factor of 10. If I set

`f = 10`

Answer Source

While `10x**5 + ...`

is correct, that is `10 * p(x)`

, which isn't really what is needed. The answer you are getting is fine right now as well and you can test that as for each `r`

in `roots`

, `p(r)`

is `0`

.