Can a degree 3 polynomial intersect a degree 4 polynomial in exactly .pdf
0 likes7 views
A degree 3 polynomial cannot intersect a degree 4 polynomial in exactly five points. The points of intersection are determined by the roots of the polynomial h(x) = g(x) - f(x), which is a degree 4 polynomial. Therefore, it can have at most 4 roots, meaning only up to 4 points of intersection are possible.
1 of 1
Download to read offline
More Related Content
More from arihantmobilepoint15 (20)
Ad
Recently uploaded (20)
Ad
Can a degree 3 polynomial intersect a degree 4 polynomial in exactly .pdf
- 1. Can a degree 3 polynomial intersect a degree 4 polynomial in exactly five points? Explain. Solution Let, f(x) be degree 3 polynomial ANd g(x) be degree 4 polynoimal So points of intersection are given by roots of the polynomial h(x)=g(x)-f(x) But, h(x) is degree 4 polynoimal and hence has atmost 4 roots So there can be atmost 4 points of intersection