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 (p(x)=10x-21), what is (p(x+1)-p(x))?ExpertLevel 33If (p(x)=\lambda x+18) and its zero is greater than (-6), which condition is correct when (\lambda>0)?ExpertLevel 33A student repays ₹75 each day, and the remaining debt after n days is given by \(D(n)=600-75n\). What situation does the zero of this linear polynomial represent?ExpertLevel 33If (p(x)=x+4r) and (q(x)=x-7r), what is (p(x)+q(x))?ExpertLevel 33If (p(x)=x+4r) and (q(x)=x-7r), what type of polynomial is (p(x)-q(x))?ExpertLevel 33If (p(x)=8x-23), what is the correct value of (p(p(3)))?ExpertLevel 33If (p(x)=5x+4), what is the value of (p(p(0)))?ExpertLevel 33For which value will the zero of ((n-5)x+3n+2) be (1)?ExpertLevel 33If \(p(x)=\frac{x}{7}+a\) and \(p(21)=16\), what is the value of (a)?ExpertLevel 33If (p(x)=6x+a) and (q(x)=3x-10), what is (a) if the zero of (p(x)+q(x)) is (2)?ExpertLevel 33For which value will the zero of (p(x)=(c-5)x+6c) be (-3)?ExpertLevel 33If the zero of (p(x)=(c-2)x+4c) is (-4), which conclusion is correct?ExpertLevel 33If (p(x)=rx-9) and (p(5)=21), what is the value of (p(-1))?ExpertLevel 33If (p(x)=ax+12) and (p(3)=p(7)-20), what is (a)?ExpertLevel 33If (p(x)=6x-25), what is (a) when (p(a)=a)?ExpertLevel 33If (p(x)=mx+n), (p(0)=-6) and (p(4)=18), what is (m+n)?ExpertLevel 33If (p(x)=mx+n), (p(-3)=2) and (p(1)=18), what is (m)?ExpertLevel 33Which option has (p(7)=0) and (p(x)) is linear?ExpertLevel 33If (p(x)=7x-13), what is (p(x)+p(-x))?ExpertLevel 33If (p(x)=7x-13), what is (p(x)-p(-x))?ExpertLevel 33