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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

A printing shop charges ₹3 per page and ₹25 for delivery. If the total cost of x pages is \(C(x)=3x+25\), which statement is correct?MediumLevel 32The zero of the linear polynomial (3x+b) is (-2). What is (b)?MediumLevel 32Which option has the zero polynomial as its simplified form?MediumLevel 32If \(p(x)=\frac{1}{2}x+3\), what is (p(4))?MediumLevel 32For which value will ((2a+1)x-4) not remain linear?MediumLevel 32If (p(x)=10x-15), for which value will (p(x)=5)?MediumLevel 32Which linear polynomial gives (-7) at (x=0)?MediumLevel 32If (p(x)=4x+c) and (p(2)=11), what is (c)?MediumLevel 32In which option is the degree of the linear polynomial stated incorrectly?MediumLevel 32If (p(x)=x+a) and (p(-5)=0), what is (a)?MediumLevel 32Which polynomial is linear and has zero (0)?MediumLevel 32If (p(x)=2x-1), what is (p(3)+p(-1))?MediumLevel 32Which option has coefficient of (x) equal to (3) and zero (-2)?MediumLevel 32A student says that \(5-3x\) is not a linear polynomial because the coefficient of \(x\) is negative. What is the correct evaluation of this statement?MediumLevel 32In which option is the sum of two linear polynomials a constant polynomial?MediumLevel 32If (p(x)=3x+4), what is the degree of (p(x)-4)?MediumLevel 32If (p(x)=2x+7), what type of polynomial is (p(x)-2x)?MediumLevel 32Which option has zero \(-\frac{5}{3}\) for a linear polynomial?MediumLevel 32If (p(x)=9-4x), what is the value of (p(2))?MediumLevel 32In which option will the coefficient of (x) become (0) after simplification?MediumLevel 32