I need help determining the linear factors and how many zero's there are in this problem...
P(x)=X^45+x^44

Question

anonymous · Answer

start with 
$$P(x)=x^{44}(x+1)$$

anonymous · Answer

where did the (x+1) come from??

anonymous · Answer

i was factoring.

anonymous · Answer

$$x^{44}(x+1)=x^{45}+x^{44}$$

anonymous · Answer

Can you show me how to use the descartes rule of signs..... that's what we've been using.... though I don't understand it

anonymous · Answer

so there are two zeros, namely at x = 0 and at x = -1

anonymous · Answer

don't need that here. just factor

anonymous · Answer

can you show me how? like draw it out?

anonymous · Answer

i am not sure what you mean. you have a polynomial with two terms, 
$$x^{45}$$ and 
$$x^{44}$$ and they have a common factor of 
$$x^{44}$$so you can "factor it out" just like you can write 
$$x^2+x=x(x+1)$$

anonymous · Answer

okay, so how many linear factors are there?