ehild said:You have to find one polynomial from the infinite many which obey the conditions.
ehild
ehild said:You have to find one polynomial from the infinite many which obey the conditions.
ehild
utkarshakash said:I still can't figure out.
HallsofIvy said:What you are being told is that this problem does NOT have a single, unique, answer. You can use the three equations to solve for three of a, b, c, and d, in terms of the other one. Then just arbitrarily choose a value for that one to get one such polynomial out of the infinite number that satisfy these conditions.
A 4th degree polynomial is a mathematical expression that contains terms with a maximum degree of 4. It is also known as a quartic polynomial.
To find a 4th degree polynomial with specific conditions, you need to set up a system of equations based on the given conditions. Then, you can use algebraic methods, such as substitution or elimination, to solve for the coefficients of the polynomial.
Some common conditions given for finding a 4th degree polynomial include the polynomial's degree, its roots or zeros, and its coefficients. Other conditions may include the polynomial's maximum or minimum values, inflection points, or its behavior at certain points.
Yes, there are specific methods such as the Rational Root Theorem, Descartes' Rule of Signs, and Synthetic Division that can be used to find a 4th degree polynomial with specific conditions. These methods can help narrow down the possible solutions and make the process more efficient.
Finding a 4th degree polynomial with specific conditions is important in many areas of mathematics and science. It can be used to model real-world phenomena, make predictions, and solve problems in various fields such as physics, engineering, and economics.