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Can a degree 3 polynomial intersect a degree 4 polynomial in exactly .pdf

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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.

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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

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  • 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