This ellipse is centered at the origin. Find it’s equation. Verticles: (0,-6) (0,6) Foci: (0,-2) (0,2)
1 answer:
If the y-coordinates of the given vertices and foci are the same, then the major axis is parallel to the x-axis. Use the standard form (x−h)2a2+(y−k)2b2=1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 . If the x-coordinates of the given vertices and foci are the same, then the major axis is parallel to the y-axis.
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The equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0
<h3>What is a polynomial?</h3>A polynomial is an algebraic equation with at least the power of its variable 3.
Analysis:
if -2, -6, -10i are the zeroes of the polynomial, it means x = -2, x = -6, x = -10i
if x = -2, (x+2) is a factor, (x+6) is a factor.
convert x = -10i to a real number,
i =
-10 = 10
= 10
= 10
x = 10, so (x-10) is a factor.
Therefore equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0
Learn more about polynomial: brainly.com/question/2833285
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