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
The zero of the linear polynomial (5x+b) is (-3). What is (b)?MediumLevel 34If \(p(x)=\frac{3}{5}x+4\), what is (p(10))?MediumLevel 34For which value will ((4a+8)x-5) not remain linear?MediumLevel 34If (p(x)=12x-20), for which value will (p(x)=4)?MediumLevel 34If (p(x)=8x+c) and (p(2)=19), what is (c)?MediumLevel 34If (p(x)=x+a) and (p(-9)=0), what is (a)?MediumLevel 34If (p(x)=4x-3), what is (p(2)+p(-2))?MediumLevel 34Which option has coefficient of (x) equal to (6) and zero (-2)?MediumLevel 34Which of the following is a linear polynomial in \(x\)?MediumLevel 34If (p(x)=7x+9), what is the degree of (p(x)-9)?MediumLevel 34If (p(x)=4x+11), what type of polynomial is (p(x)-4x)?MediumLevel 34Which option has zero \(-\frac{7}{2}\) for a linear polynomial?MediumLevel 34If (p(x)=16-5x), what is the value of (p(3))?MediumLevel 34If (p(x)=x-6) and (q(x)=3x+2), what is (2p(x)+q(x))?MediumLevel 34If (p(x)=5x-15), which value is its zero?MediumLevel 34In which option is the difference of (4x+9) and (x-3) equal to (3x+12)?MediumLevel 34Aarav claims that the zero of the linear polynomial \(4x-9\) is \(-\frac{9}{4}\). What is the correct zero after fixing his error?MediumLevel 34If \(p(x)=\frac{7}{8}x-7\), what is (p(8))?MediumLevel 34If (p(x)=x+5), what type of polynomial is (p(x)^2)?MediumLevel 34If (p(x)=4x+b), what will be the value of (p(5)-p(2))?MediumLevel 34