Please answer this first to answer CORRECTLY, gets brainliest.
2 answers:
You might be interested in
Answer:
b. ellipse
Step-by-step explanation:
The squared terms have the same sign and different coefficients. That means the equation describes an <em>ellipse</em>.
__
<em>Additional comment</em>
<em>both variables are highest degree 2</em>:
coefficients have the same sign and magnitude: circle
coefficients have the same sign and different magnitude: ellipse
coefficients have different signs: hyperbola*
<em>only one variable has highest degree 2</em>:
parabola
____
* If the equation can be factored to a product of linear terms that is zero, then the equation is of two intersecting lines. This is a degenerate case of the hyperbola in which the major axis is zero: the two vertices are the same point.
Answer:
4 real zeros, up on left, up on right
Step-by-step explanation:
The positive coefficient of x^4 tells you the graph will open upward (up on left, up on right). Descarte's rule of signs tells you there will be 0 or 2 positive real roots and 0 or 2 negative real roots. Based solely on end-behavior, the appropriate choice is the last one: ... up on left, up on right.
_____
<em>More about the zeros</em>
The sum of coefficients is zero, indicating x=1 is a root (zero). Hence there will be 2 positive real roots. Changing the signs of the coefficients of odd-degree terms also gives a sum of coefficients that is zero, indicating x=-1 is a root and that there are 2 negative real roots. At this point, you have enough information to factor the function completely, if you want. You also know there are 4 real roots.
