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{9}{13}) for a linear polynomial?ExpertLevel 34If (p(x)=\frac{8}{15}x-16), for which value will (p(x)=0)?ExpertLevel 34If (p(x)=x-10) and (q(x)=x+3), what is the degree of (p(x)q(x))?ExpertLevel 34If (p(x)=9x-17), what is (p(x+3))?ExpertLevel 34If (p(x)=19-7x), which is (p(2x))?ExpertLevel 34Which of the following is a linear polynomial in \(x\), even though it has an irrational coefficient?ExpertLevel 34If (p(x)=kx-14) and (p(7)=p(-1)), when will (p(x)) remain linear?ExpertLevel 34If (p(x)=7x+2) and (q(x)=15x-6), what is the degree of (q(x)-2p(x))?ExpertLevel 34Which option has zero 29/11 for a linear polynomial?EasyLevel 34If (p(x)=12x-25), what is (p(x+1)-p(x))?ExpertLevel 34If (p(x)=\lambda x+21) and its zero is greater than (-7), which condition is correct when (\lambda>0)?ExpertLevel 34If \(p(x)=ax+b\), where \(a\ne0\), is a linear polynomial, which statement about its graph is always correct?ExpertLevel 34If (p(x)=x+5r) and (q(x)=x-8r), what is (p(x)+q(x))?ExpertLevel 34If (p(x)=x+5r) and (q(x)=x-8r), what type of polynomial is (p(x)-q(x))?ExpertLevel 34If (p(x)=10x-29), what is the correct value of (p(p(3)))?ExpertLevel 34If (p(x)=6x+5), what is the value of (p(p(0)))?ExpertLevel 34For which value will the zero of ((n+6)x+4n-3) be (1)?ExpertLevel 34If \(p(x)=\frac{x}{8}+a\) and \(p(24)=17\), what is the value of (a)?ExpertLevel 34If (p(x)=7x+a) and (q(x)=4x-12), what is (a) if the zero of (p(x)+q(x)) is (2)?ExpertLevel 34For which value will the zero of (p(x)=(c-7)x+8c) be (-4)?ExpertLevel 34