Mathematics
Linear polynomials
रैखिक बहुपद
In this Class 9 Mathematics topic from “Introduction to Polynomials,” students learn how to recognize and work with linear polynomials, whose degree is one and which are commonly written as ax + b, where a is non-zero. They identify the variable, coefficient, constant term, and degree, distinguish linear polynomials from other types, evaluate them for given values, and understand how to find their zero. These ideas build a foundation for simplifying expressions and studying polynomial relationships.
Practice questions
If the highest power in a polynomial is 1, what is it called?EasyLevel 25Which expression is not a linear polynomial?EasyLevel 30Which expression is a polynomial but not a linear polynomial?HardLevel 26Which statement is correct about the zeroes of a non-zero linear polynomial?HardLevel 26Which expression is a polynomial in (s) and has degree (1)?ExpertLevel 26If \(p(x)=ax+b\), where \(a\ne0\), is a linear polynomial, which property of its graph is always true?HardLevel 27Which of the following expressions is a linear polynomial in \(x\)?HardLevel 28A taxi charges a fixed fee of ₹50 and ₹12 per kilometre. If the distance travelled is represented by \(x\), which statement about \(C(x)=12x+50\) is correct?ExpertLevel 28What type of polynomial is (4x-9)?EasyLevel 35What is the degree of a linear polynomial?EasyLevel 35What is the highest power of (y) in (7y+2)?EasyLevel 35Which polynomial is not linear?EasyLevel 35Which is the general form of a linear polynomial?EasyLevel 35In a taxi service, the total fare for travelling \(x\) km is \(F(x)=18x+50\) rupees. Which statement about this expression is correct?EasyLevel 35What is the coefficient of (x) in (12-5x)?EasyLevel 35What is the constant term of (x+4)?EasyLevel 35What is the coefficient of (x^2) in (2x+7)?EasyLevel 35What is the leading coefficient of the linear polynomial (9x+1)?EasyLevel 35Which option contains only a linear polynomial?EasyLevel 35If (p(x)=x-13), in which form is (p(x))?EasyLevel 35