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)=(c-3)x+6c) is (-6), which conclusion is correct?ExpertLevel 34If (p(x)=rx-12) and (p(6)=30), what is the value of (p(-2))?ExpertLevel 34If (p(x)=ax+15) and (p(2)=p(8)-30), what is (a)?ExpertLevel 34If (p(x)=7x-30), what is (a) when (p(a)=a)?ExpertLevel 34If (p(x)=mx+n), (p(0)=-8) and (p(5)=27), what is (m+n)?ExpertLevel 34If (p(x)=mx+n), (p(-4)=3) and (p(2)=27), what is (m)?ExpertLevel 34Which option has (p(9)=0) and (p(x)) is linear?ExpertLevel 34If (p(x)=8x-15), what is (p(x)+p(-x))?ExpertLevel 34If (p(x)=8x-15), what is (p(x)-p(-x))?ExpertLevel 34For which value will the zero of ((s+9)x+6s) be (0)?ExpertLevel 34If (p(x)=7x+a) and (q(x)=9x-a), what is (a) if the zero of (p(x)+q(x)) is (2)?ExpertLevel 34If (p(x)=7x+a) and (q(x)=9x-a), what is (q(x)-p(x))?ExpertLevel 34Which option correctly explains why the product of (6x − 1) and (x + 8) is not linear?MediumLevel 34If (p(x)=ax+7) and (p(p(0))=63), what is (a)?ExpertLevel 34If (p(x)=x+a) and (p(p(5))=19), what is the value of (a)?ExpertLevel 34If (p(x)=mx+n) and (p(-5)=p(3)), when can (p(x)) be linear?ExpertLevel 34A student says that \(q(x)=\frac{5}{2}-\frac{x}{3}\) is not a linear polynomial because it contains fractions. Which is the correct analysis of the student's error?ExpertLevel 34If (p(x)=13x-7), what is (p(x+2)-p(x-1))?ExpertLevel 34If (p(x)=11x-32), what is the correct value of (p(p(3)))?ExpertLevel 34If (p(x)=15x+a) and (p(p(0))=240), what is the value of (a)?ExpertLevel 34