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
Riya says that \(q(x)=\frac{4}{x}+2\) is a linear polynomial because \(x\) appears with exponent 1. Which observation correctly proves that her statement is wrong?HardLevel 35If (p(x)=4x+1) and (q(x)=9x-3), what is the degree of (q(x)-2p(x))?HardLevel 35Which option has zero \(\frac{17}{8}\) for a linear polynomial?HardLevel 35If (p(x)=7x-10), what is (p(x+1)-p(x))?HardLevel 35If (p(x)=\lambda x+12) and its zero is greater than (-3), which condition is correct when (\lambda>0)?HardLevel 35If \(p(x)=ax+b\), where \(a\ne0\), is a linear polynomial, which statement about its graph is always true?HardLevel 35If (p(x)=x+2s) and (q(x)=x-3s), what is (p(x)+q(x))?HardLevel 35If (p(x)=x+2s) and (q(x)=x-3s), what type of polynomial is (p(x)-q(x))?HardLevel 35If (p(x)=4x-11), what is the correct value of (p(p(3)))?HardLevel 35If (p(x)=5x+2), what is the value of (p(p(0)))?HardLevel 35For which value will the zero of ((n-3)x+2n+1) be (1)?HardLevel 35If \(p(x)=\frac{x}{5}+a\) and \(p(15)=11\), what is the value of (a)?HardLevel 35If (p(x)=4x+a) and (q(x)=x-6), what is (a) if the zero of (p(x)+q(x)) is (2)?HardLevel 35For which value will the zero of (p(x)=(c+4)x+2c) be (-2)?HardLevel 35If the zero of (p(x)=(c+4)x+2c) is (-1), what is the correct value of (c)?HardLevel 35If (p(x)=rx+3) and (p(4)=23), what is the value of (p(-2))?HardLevel 35If (p(x)=ax-9) and (p(2)=p(6)-20), what is (a)?HardLevel 35If (p(x)=4x-15), what is (a) when (p(a)=a)?HardLevel 35If (p(x)=mx+n), (p(0)=5) and (p(3)=14), what is (m+n)?HardLevel 35If (p(x)=mx+n), (p(-1)=2) and (p(2)=11), what is (m)?HardLevel 35