Concept explainers
To deduce:A circle and graph of polynomial of degree 3 intersect at most six time, the conjecture about polynomial of degree 4 and degree
Answer to Problem 100AYU
The algebraic argument is “The number of intersection is equal to the product of the degrees of the graph of the equation.”
Explanation of Solution
The number of intersection point is calculated as,
Hence, the circle intersect at six points.
For degree 4, the number of intersection point is calculated as,
For degree
Hence, the algebraic argument is “The number of intersection is equal to the product of the degrees of the graph of the equation.”
Chapter 11 Solutions
Precalculus
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