Sum of polynomials are always polynomials.
Note that despite it's name, single constants, monomials, binomials, trinomials, and expressions with more than three terms are all polynomials.
For example,
0, π sqrt(2)x, 4x+2, x^2+3x+4, x^2-x^2, x^5+x/ π -1
are all polynomials.
What makes an expression NOT a polynomial?
Expressions that contain non-integer or negative powers of variables, rational functions, infinite series.
For example,
sqrt(x+1), 1/x+4, 1+x+ x^2/2!+x^3/3!+x^4/4!+...., (5x+3)/(6x+7)
are NOT polynomials.
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16
(x^2+10x+16)(x+k)=x^3+9x^2+6x-16
x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16
kx^2+10kx+16k=-x^2-10x-16
k(x^2+10x+16)=-x^2-10x-16
k=(-x^2-10x-16)/(x^2+10x+16)
k=-1
so the width is (x-1)
Answer:
School problems, such as higher rates of absences or lower grades.
Social problems, such as fighting or lack of participation in youth activities.
Legal problems, such as arrest for driving or physically hurting someone while drunk.
Physical problems, such as hangovers or illnesses.
hope this helps
have a good day :)
Step-by-step explanation:
Use these equations when converting polar equations to parametric equations:


We know that
, so substitute that into both equations for x and y.


Now, replace
with any variable that you want to represent the parametric equations in. I'll use the standard variable, 


Thus,
represented in parametric form is:

Let me know if you need any clarifications, thanks!
~ Padoru