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Subjects

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)=x-4) and (q(x)=2x+1), what is (2p(x)+q(x))?MediumLevel 32If (p(x)=3x-6), which value is its zero?MediumLevel 32In which order is the difference of (2x+5) and (x-1) equal to (x+6)?MediumLevel 32Riya says that \(5-2x\) is not a linear polynomial because the coefficient of \(x\) is negative. Which statement about Riya's claim is correct?MediumLevel 32If \(p(x)=\frac{3}{4}x-6\), what is (p(8))?MediumLevel 32If (p(x)=x+3), what type of polynomial is (p(x)^2)?MediumLevel 32Which option has a linear polynomial whose leading coefficient is not (0)?MediumLevel 32If (p(x)=2x+b) and (p(3)=p(1)+8), what is correct about (b)?MediumLevel 32If (p(x)=4x+7), what is the value of (p(3)-p(1))?MediumLevel 33For which value will ((m+4)x-9) not remain a linear polynomial?MediumLevel 33What is the zero of the linear polynomial (6x-18)?MediumLevel 33After simplifying (5(x-2)-3x+4), which polynomial is obtained?MediumLevel 33If the zero of (p(x)=ax+12) is (3), what is the value of (a)?MediumLevel 33Which option simplifies to the linear polynomial (2x+5)?MediumLevel 33If (p(x)=3x-5) and (q(x)=x+7), what is the degree of (p(x)+q(x))?MediumLevel 33If (p(x)=5x+4) and (q(x)=5x-6), what type of polynomial is (p(x)-q(x))?MediumLevel 33For which value will the zero of ((k-7)x+14) be (-2)?MediumLevel 33If (p(x)=2x-7), what is the value of (p(-3))?MediumLevel 33Which option has zero \(\frac{5}{4}\) for a linear polynomial?MediumLevel 33If (p(x)=6x+c) and (p(2)=17), what is (c)?MediumLevel 33