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 zero of (p(x)=ax+b) is (-4) and (a=3), what is (b)?ExpertLevel 32If (p(x)=7x+c) and (p(6)=p(2)+28), what is correct about (c)?ExpertLevel 32Which option has -4/9 as the zero of a linear polynomial?ExpertLevel 32If (p(x)=\frac{5}{6}x-10), for which value will (p(x)=0)?ExpertLevel 32If (p(x)=x-7) and (q(x)=x+4), what is the degree of (p(x)q(x))?ExpertLevel 32If (p(x)=6x-11), what is (p(x+2))?ExpertLevel 32If (p(x)=15-5x), which is (p(2x))?ExpertLevel 32If \(p(x)=ax+b\), where \(a\ne0\), is a linear polynomial in \(x\), which statement about its real zeroes is correct?ExpertLevel 32If (p(x)=kx-8) and (p(5)=p(-1)), when will (p(x)) remain linear?ExpertLevel 32A student says that \(7-\frac{x}{2}\) is not a polynomial because the coefficient of \(x\) is a fraction. What is the correct evaluation of this statement?ExpertLevel 32If (p(x)=5x+3) and (q(x)=11x-2), what is the degree of (q(x)-2p(x))?ExpertLevel 32Which option has zero \(\frac{19}{7}\) for a linear polynomial?ExpertLevel 32If (p(x)=8x-13), what is (p(x+1)-p(x))?ExpertLevel 32If (p(x)=\lambda x+15) and its zero is greater than (-5), which condition is correct when (\lambda>0)?ExpertLevel 32If (p(x)=x+3r) and (q(x)=x-5r), what is (p(x)+q(x))?ExpertLevel 32If (p(x)=x+3r) and (q(x)=x-5r), what type of polynomial is (p(x)-q(x))?ExpertLevel 32If (p(x)=6x-17), what is the correct value of (p(p(3)))?ExpertLevel 32If (p(x)=4x+3), what is the value of (p(p(0)))?ExpertLevel 32For which value will the zero of ((n+4)x+2n-1) be (1)?ExpertLevel 32If \(p(x)=\frac{x}{6}+a\) and \(p(18)=14\), what is the value of (a)?ExpertLevel 32