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Section C Short answer type questions - 8 questions x 3 marks each. Section D Long answer type questions - 6 questions x 4 marks each. To open up all the opportUnities for yourself, you will have to score well in your Class 10 examinations. To score well in your mathematics exam, you will have to put in consistent efforts. Prepare each topic well and practice solving important questions and sample papers. The sub-topics discussed in detail in the chapter- Polynomials are as follows.
Degree of the polynomial. Types of polynomials. Zeroes of the polynomial. Relationship between Coefficients of the polynomial and its roots. Division of a polynomial with another polynomial using the long division method. Degree of the polynomial is defined by the highest power of the polynomial. The degree is a representation method of the polynomial.
For a polynomial p x , which is a polynomial of a single variable, the degree is depicted by:. Degree of the polynomial refers to the highest power of the variable. Depending upon the degree of the polynomial, it can be categorised into:. Linear Polynomial - Polynomial of degree one. Ex- 5x - 1. Quadratic Polynomial - Polynomial of the second degree.
Cubic Polynomial - Polynomial of degree three. Quartic Polynomial - Polynomial of the fourth degree. Polynomials are algebraic expressions made up of terms that are connected using mathematical operators. Polynomials can also be differentiated based upon the number of terms:. Monomial - Polynomials with only a single term. Binomial - Polynomials with two terms. Trinomial - Polynomial made up of three terms.
The number of zeros of a polynomial is dependent upon the degree of the polynomial. A polynomial of degree 1 has only one zero. A polynomial of degree 2 has two zeros. A polynomial of degree 3 has 3 zeros. Zero of a linear polynomial is given by the formula:. Zero of a quadratic polynomial can be found using hit and trial method but often this is tiresome so we use the quadratic formula to find the zeros of a quadratic polynomial.
The zeros of the polynomial are:. Download the list of important questions for class 10 maths polynomials to practice questions from each of the topics.
Solving different types of questions from each sub-topic will make the students familiar in solving complex problems if they come in your examinations. Practising is key when it comes to mathematics. The more you practice, the more you will get familiar with solving problems faster and accurately.
The marking scheme used in mathematics is step-wise, so you are awarded marks for every correct step. These questions cover most of the topics and are extremely reliable. It will boost your confidence and help you solve all types of questions that the examiners can set.
Mathematics is not an easy subject that anyone can solve just by studying before a few days of examination. Especially, class 10 is crucial with high-level mathematics problems for the students to solve. Therefore, daily practices will help students memorize the formulas and understand the types of issues that might come up during their finals. Expert mathematicians of Vedantu have prepared a set of important questions of chapter 3 Maths class 10, which will help the students revise the chapter easily.
The pdf is free for the students who register for the site. Equations with first order are known as linear equations. The word linear defines the equation is in a line of the coordinate system. Therefore, any equation lying in a straight line is known as a linear equation. These equations consist of the highest exponent of variables as one and hence, are known as first-degree equations.
There are various types of linear equations. When an equation has only one variable or a homogeneous variable, then that type is known as a linear equation with one variable. In other words, an equation in a line is achieved by relating zero to any field of linear polynomial from which we can obtain the coefficients id known as a linear equation with one variable.
The answers of linear equations produce values that make a true equation when exchanged with unknown values. However, when it comes to two variables linear equation, the Euclidean plane's answer is calculated as Cartesian coordinates.
A line is determined in an X-Y plane through various forms. Here, we have a list of some common conditions which we use to solve linear equations. Slope Intercept Form. General Form. Intercept Form. Two-point Form. Point Form. The combination of variables and constants form a linear equation.
The most common way to solve linear equations is in the slope-intercept form. Considering the points on the x-y Ch 3 Maths Class 10 Extra Questions Quest plane, a straight line equation is formed as the linear equation. The intercept form is represented when the axes of the lines intersect in two different points on the x-y plane and are neither parallel to the y-axis or the x-axis. Suppose x 1 ,y 1 and x 2 ,y 2 are two points, and only one line passes through these points, then the linear equation is represented as.
To solve a linear equation, you must balance both sides of the equation.
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