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-7) and (q(x)=2x+3), what is (3p(x)-5q(x))?HardLevel 34For which value will the zero of ((3m+1)x+8) be (-2)?HardLevel 34Let \(p(x)=ax+b\), where \(a\) and \(b\) are real numbers and \(a\ne0\). Which statement is always true about this linear polynomial?HardLevel 34If (p(x)=5x+c) and (p(4)=p(1)+15), what is correct about (c)?HardLevel 34Which option has -5/8 as the zero of a linear polynomial?HardLevel 34If p(x) = (3/7)x − 9, for which value of x will p(x) = 0?EasyLevel 34If (p(x)=x-3) and (q(x)=x+8), what is the degree of (p(x)q(x))?HardLevel 34If (p(x)=4x-9), what is (p(x+2))?HardLevel 34If (p(x)=11-2x), which is (p(3x))?HardLevel 34A student says that \(7-\sqrt{5}x\) is not a linear polynomial because the coefficient of \(x\) is irrational. Which option correctly evaluates this statement?HardLevel 34If (p(x)=kx-5) and (p(3)=p(-1)), when will (p(x)) remain linear?HardLevel 34Which correctly identifies the graph of a linear polynomial \(p(x)=ax+b\), where \(a\ne0\)?HardLevel 34If (p(x)=3x+2) and (q(x)=7x-4), what is the degree of (q(x)-2p(x))?HardLevel 34Which option has zero \(\frac{13}{6}\) for a linear polynomial?HardLevel 34If (p(x)=5x-6), what is (p(x+1)-p(x))?HardLevel 34If (p(x)=\lambda x+10) and its zero is less than (-2), which condition is correct when (\lambda>0)?HardLevel 34Which of the following is a linear polynomial with a negative zero?HardLevel 34If (p(x)=x+s) and (q(x)=x-2s), what is (p(x)+q(x))?HardLevel 34If (p(x)=x+s) and (q(x)=x-2s), what type of polynomial is (p(x)-q(x))?HardLevel 34If (p(x)=3x-7), what is the correct value of (p(p(3)))?HardLevel 34