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
Which option has zero \(-\frac{4}{5}\) for a linear polynomial?MediumLevel 33If (p(x)=12-5x), what is the value of (p(2))?MediumLevel 33If (p(x)=2x-3) and (q(x)=x+5), what is (2p(x)-q(x))?MediumLevel 33If (p(x)=4x-8), which value is its zero?MediumLevel 33In which option is the difference of (3x+7) and (x-2) equal to (2x+9)?MediumLevel 33Which of the following expressions is a linear polynomial in one variable?MediumLevel 33If \(p(x)=\frac{5}{6}x-10\), what is (p(12))?MediumLevel 33If (p(x)=x-2), what type of polynomial is (p(x)^2)?MediumLevel 33Which option has a linear polynomial whose leading coefficient is non-zero?MediumLevel 33If (p(x)=3x+b), what will be the value of (p(4)-p(2))?MediumLevel 33Reena claims that \(7-2x+5x^2\) is a linear polynomial because it contains an \(x\)-term. What is the correct evaluation of her claim?MediumLevel 33If (p(x)=2x+3) and (q(x)=2x+3), what is the degree of (p(x)-q(x))?MediumLevel 33If (p(x)=9x-1), what is the value of (p(1)+p(0))?MediumLevel 33If (p(x)=5x-4), what is the value of (p(3)-p(-1))?MediumLevel 33For which value of r will (2r + 5)x − 10 not remain a linear polynomial?MediumLevel 33If the zero of (p(x)=7x+b) is (-2), what is the value of (b)?MediumLevel 33If (p(x)=2x-5) and (q(x)=4x+1), what is (3p(x)-q(x))?MediumLevel 33Which option has zero \(\frac{7}{3}\) for a linear polynomial?MediumLevel 33After simplifying (4(2x-3)-5x), which polynomial is obtained?MediumLevel 34For which value will ((a+6)x-13) not remain a linear polynomial?MediumLevel 34