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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)=10x+a) and (p(p(0))=110), what is the value of (a)?ExpertLevel 32If (p(x)=mx+n), (p(-1)=3) and (p(4)=23), what is (m+n)?ExpertLevel 32If (p(x)=11x-6), what is (p(x+1)+p(x-2))?ExpertLevel 32For which value will ((r²−5r+6)x+4) not remain a linear polynomial?MediumLevel 32After simplifying (4(3x-2)-5(2x+7)), which linear polynomial is obtained?ExpertLevel 33Which of the following is a linear polynomial in the variable x?ExpertLevel 33If the zero of (p(x)=(k+2)x-20) is (4), what is (k)?ExpertLevel 33If (p(x)=7x-3) and (q(x)=4x+5), what is (2p(x)-3q(x))?ExpertLevel 33For which value will the zero of ((3a-4)x+16) be (-2)?ExpertLevel 33If the zero of (p(x)=ax+b) is (6) and (a=-3), what is (b)?ExpertLevel 33If (p(x)=9x+c) and (p(5)=p(1)+36), what is correct about (c)?ExpertLevel 33Which option has zero (-\frac{8}{11}) for a linear polynomial?ExpertLevel 33If (p(x)=\frac{7}{10}x-14), for which value will (p(x)=0)?ExpertLevel 33Riya says that \(7-3x+0x^2\) is a quadratic polynomial because it contains \(x^2\). What is Riya's error?ExpertLevel 33If (p(x)=8x-15), what is (p(x-2))?ExpertLevel 33If (p(x)=17-6x), which is (p(3x))?ExpertLevel 33Reema claims that \(7-3x+\frac{2}{x}\) is a linear polynomial because the highest power of \(x\) in it is 1. Which is the correct correction to her claim?ExpertLevel 33If (p(x)=kx+11) and (p(6)=p(-2)), when will (p(x)) remain linear?ExpertLevel 33If (p(x)=6x+4) and (q(x)=13x-1), what is the degree of (q(x)-2p(x))?ExpertLevel 33Which option has zero \(\frac{23}{9}\) for a linear polynomial?ExpertLevel 33