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)=4x+1), what is the value of (p(p(1)))?HardLevel 34For which value will the zero of ((n+2)x+3n-1) be (1)?HardLevel 34If \(p(x)=\frac{x}{4}+a\) and \(p(8)=7\), what is the value of (a)?HardLevel 34If (p(x)=3x+a) and (q(x)=2x-5), what is (a) if the zero of (p(x)+q(x)) is (1)?HardLevel 34For which value will the zero of (p(x)=(c-2)x+3c) be (-3)?HardLevel 34If the zero of (p(x)=(c-2)x+3c) is (-2), what is the correct value of (c)?HardLevel 34If (p(x)=rx-4) and (p(3)=14), what is the value of (p(-1))?HardLevel 34If (p(x)=ax+8) and (p(1)=p(4)-12), what is (a)?HardLevel 34If (p(x)=3x-10), what is (a) when (p(a)=a)?HardLevel 34If (p(x)=mx+n), (p(0)=-2) and (p(4)=10), what is (m+n)?HardLevel 34If (p(x)=mx+n), (p(2)=9) and (p(5)=21), what is (m)?HardLevel 34Which option has (p(-3)=0) and (p(x)) is linear?HardLevel 34If (p(x)=4x+9), what is (p(x)+p(-x))?HardLevel 34If (p(x)=4x+9), what is (p(x)-p(-x))?HardLevel 34For which value will the zero of ((s+4)x+2s) be (0)?HardLevel 34If (p(x)=3x+a) and (q(x)=5x-a), what is (a) if the zero of (p(x)+q(x)) is (2)?HardLevel 34If (p(x)=3x+a) and (q(x)=5x-a), what is (q(x)-p(x))?HardLevel 34If (p(x)=ax-2) and (p(p(0))=10), what is (a)?HardLevel 34If (p(x)=x+a) and (p(p(1))=7), what is the value of (a)?HardLevel 34Which condition is necessary and sufficient for the polynomial \(p(x)=ax+b\) to be a linear polynomial?HardLevel 34