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 linear polynomial becomes (0) at (x=-4)?MediumLevel 33Which polynomial is obtained by simplifying (3(x+1)+2(x-4))?MediumLevel 33If (p(x)=9-3x), what is its zero?MediumLevel 33Which option has (p(0)=-6) and (p(x)) is linear?MediumLevel 33If (p(x)=4x+1) and (p(t)=21), what is the value of (t)?MediumLevel 33Which option has a linear polynomial whose zero is negative?MediumLevel 33If the zero of (p(x)=3x+a) is (-2), what is the value of (a)?MediumLevel 33If (p(x)=x+2) and (q(x)=x+5), what type of polynomial is (q(x)-p(x))?MediumLevel 33The zero of the linear polynomial (2x+b) is (4). What is (b)?MediumLevel 33If \(p(x)=\frac{2}{3}x+5\), what is (p(6))?MediumLevel 33For which value will ((3a-6)x+1) not remain linear?MediumLevel 33If (p(x)=8x-12), for which value will (p(x)=4)?MediumLevel 33Which linear polynomial gives (9) at (x=0)?MediumLevel 33If (p(x)=7x+c) and (p(1)=2), what is (c)?MediumLevel 33If (p(x)=x+a) and (p(6)=0), what is (a)?MediumLevel 33If (p(x)=3x-2), what is (p(2)+p(-2))?MediumLevel 33Which option has coefficient of (x) equal to (5) and zero (-1)?MediumLevel 33A student says that \(7-2x\) is not a linear polynomial because the coefficient of \(x\) is negative. What is the correct evaluation of the student's statement?MediumLevel 33If (p(x)=5x+8), what is the degree of (p(x)-8)?MediumLevel 33If (p(x)=3x-4), what type of polynomial is (p(x)-3x)?MediumLevel 33