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Solution: The blue flag is in the 5th line, at a distance of Find the ratio in which the line segment joining the points -3, 10 and 6, -8 is divided by -1, 6. Find the ratio in which line segment joining A 1, -5 and B -4, 5 is divided by the x-axis. Also, find the coordinates of the point of division. If 1, 2 , 4, y , x, 6 and 3, 5 are the vertices of a parallelogram taken in order, find x and y. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is 2, -3 and B is 1, 4.
Find the coordinates of the points which divide the line segment joining A -2, 2 and B 2, 8 into four equal parts. Find the area of a rhombus if its vertices are 3, 0 , 4, 5 , -1, 4 and -2, -1 taken in order.
This is because, without a proper understanding of what polynomials are, it is impossible to solve these problems. It is essential to learn how to resolve a complicated set of numbers into a simple polynomial for any problem-solving. The solutions are also provided with several tricks to help students get a clear idea about the concepts.
Now, no one can stop you from being excellent in Maths. The Chapter that has been curated by the CBSE board is sure to give you all the knowledge about Polynomials and Vedantu will help you get a grip on the concept with very little effort.
A thorough practice of the solutions just once or twice will make all the difference. You can be sure of the fact that noting will be asked in the question paper outside the concepts and questions solved in the notes provided by Vedantu.
The notes are for you and Vedantu knows what you need. The highest power of the variable appearing in the polynomial is called its degree. For example,. The degree of the zero polynomial is not established.
A linear polynomial is one degree of the polynomial. A polynomial that is of a degree two is called a quadratic polynomial. A polynomial that is of a degree 3 is called a cubic polynomial.
A biquadratic polynomial is a polynomial of degree 4. A real number is said to be a zero of a polynomial. Remainder theorem: To understand the remainder theorem, we must have knowledge about factors and multiples, long division algorithms. If f x is any polynomial of a degree 1 and f x is divided by the linear polynomial x � a, then the remainder is f a. Factor theorem: Sometimes a polynomial having values that are unknown and one of its factors are provided and we have to calculate the value of that unknown value.
Sometimes, a linear polynomial is given and we have to verify whether it is a factor of given polynomial f x of degree greater than 1 or not. For solving such types of problems factor theorem is required. In this segment, we will study division algorithms for polynomials. If any two polynomials like p x and g x along with one polynomial of the two is not equal to 0 i. The outcome of the above numerical is known as the Division Algorithm for polynomials.
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