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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-1), what is (p(x+3)-p(x-2))?HardLevel 34If (p(x)=4x-9), what is the correct value of (p(p(3)))?HardLevel 34If (p(x)=5x+2), what is (p(x+1)+p(x-1))?HardLevel 34For which value will ((r^2-2r)x+9) not remain a linear polynomial?HardLevel 34If (p(x)=ax+3) and (p(p(0))=18), what is the value of (a)?HardLevel 34If (p(x)=mx+n), (p(-2)=1) and (p(2)=13), what is (m-n)?HardLevel 34After simplifying (7(2x-5)-5(3x+4)), which polynomial is obtained?HardLevel 35A student says that \(P(x)=\sqrt{2}x-5\) is not a polynomial because its coefficient is not an integer. Which is the correct response to the student?HardLevel 35For which value of \(a\) will \(p(x)=(a^2-9)x^2+(a+3)x-5\) be a linear polynomial?HardLevel 35If (p(x)=2x+5) and (q(x)=3x-7), what is (4p(x)-3q(x))?HardLevel 35For which value will the zero of ((2m+3)x-14) be (2)?HardLevel 35If the zero of (p(x)=ax+b) is (5) and (a=-2), what is (b)?HardLevel 35If (p(x)=6x+c) and (p(5)=p(2)+18), what is correct about (c)?HardLevel 35Which option has −7/9 as the zero of a linear polynomial?MediumLevel 35If p(x) = (4/9)x − 8, for which value of x will p(x) = 0?EasyLevel 35If (p(x)=x+6) and (q(x)=x-2), what is the degree of (p(x)q(x))?HardLevel 35If (p(x)=5x-8), what is (p(x-3))?HardLevel 35If (p(x)=13-4x), which is (p(2x))?HardLevel 35Let \(p(x)=ax+b\), where \(a\) and \(b\) are real numbers and \(a\ne0\). Which statement about the zeroes of \(p(x)\) is always true?HardLevel 35If (p(x)=kx+7) and (p(4)=p(-2)), when will (p(x)) remain linear?HardLevel 35