One number is 2 more than another. The difference between their squares is 20. What are the numbers?
1 answer:
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You can get a circle by cutting horizontally and a hyperbola by cutting vertically. You can also get an ellipse and a parabola by cutting at an angle depending on whether the cut comes out the other side or not.
Given:
The zeros of the polynomial are .
Degree = 4
Leading coefficient = 1
To find:
The polynomial.
Solution:
If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.
Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.
Using distributive property, we get
On combining like terms, we get
Here, the leading coefficient is 1. So, it is the required polynomial.
Therefore, the correct option is E.