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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)=6x-5), what is the value of (p(4)-p(1))?MediumLevel 34For which value will ((3r-12)x+5) not remain a linear polynomial?MediumLevel 34If the zero of (p(x)=9x+b) is (-1), what is the value of (b)?MediumLevel 34If (p(x)=3x-2) and (q(x)=5x+4), what is (2q(x)-p(x))?MediumLevel 34Which option has zero \(-\frac{2}{5}\) for a linear polynomial?MediumLevel 34If (p(x)=7-2x), what is the value of (p(-3))?MediumLevel 34In which option is the difference of two linear polynomials the zero polynomial?MediumLevel 34If \(p(x)=\frac{4}{5}x-8\), what is (p(10))?MediumLevel 34After simplifying (5(2x-3)-3(3x+1)), which polynomial is obtained?HardLevel 33Which of the following expressions is a linear polynomial in x for every real value of p?HardLevel 33If the zero of (p(x)=(k-2)x+9) is (-3), what is the value of (k)?HardLevel 33If (p(x)=3x-2) and (q(x)=x+5), what is (2p(x)-3q(x))?HardLevel 33For which value will the zero of ((2m-5)x+10) be (4)?HardLevel 33If the zero of (p(x)=ax+b) is (2) and (a=5), what is (b)?HardLevel 33Which of the following conditions ensures that \(ax+b\), where \(a\) and \(b\) are real numbers, is a linear polynomial in \(x\)?HardLevel 33If (p(x)=4x+c) and (p(3)=p(1)+10), what is correct about (c)?HardLevel 33Which option has −3/7 as the zero of a linear polynomial?MediumLevel 33If p(x) = (2/5)x − 6, for which value of x will p(x) = 0?EasyLevel 33If (p(x)=x+2) and (q(x)=x-5), what is the degree of (p(x)q(x))?HardLevel 33If (p(x)=2x-1), what is (p(x+3))?HardLevel 33