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
Which option has (p(4)=0) and (p(x)) is linear?HardLevel 35If (p(x)=5x-12), what is (p(x)+p(-x))?HardLevel 35If (p(x)=5x-12), what is (p(x)-p(-x))?HardLevel 35For which value will the zero of ((s-5)x+3s) be (0)?HardLevel 35If (p(x)=4x+a) and (q(x)=6x-a), what is (a) if the zero of (p(x)+q(x)) is (-2)?HardLevel 35If (p(x)=4x+a) and (q(x)=6x-a), what is (q(x)-p(x))?HardLevel 35If (p(x)=ax+4) and (p(p(0))=28), what is (a)?HardLevel 35If (p(x)=x+a) and (p(p(2))=10), what is the value of (a)?HardLevel 35If (p(x)=mx+n) and (p(-2)=p(1)), when can (p(x)) be linear?HardLevel 35Kavya says that if \(p(x)=m(x-5)\), where \(m\ne0\), the zero of the polynomial will change with the value of \(m\). Which option correctly explains the error in her statement?HardLevel 35If (p(x)=8x-3), what is (p(x+2)-p(x-1))?HardLevel 35If (p(x)=5x-14), what is the correct value of (p(p(3)))?HardLevel 35If (p(x)=6x+a) and (p(p(0))=42), what is the value of (a)?HardLevel 35If p(x) = mx + n, p(−1) = 4 and p(3) = 20, what is m + n?MediumLevel 35If (p(x)=9x-5), what is (p(x+1)+p(x-2))?HardLevel 35After simplifying (3(2x-5)-2(5x+1)), which linear polynomial is obtained?ExpertLevel 32Which of the following expressions is a linear polynomial in x having -2 as its zero?ExpertLevel 32Which statement about the zeroes of a non-constant linear polynomial \(p(x)=ax+b\), where \(a\ne0\), is always true?ExpertLevel 32If (p(x)=5x-4) and (q(x)=2x+7), what is (3p(x)-4q(x))?ExpertLevel 32For which value will the zero of ((2a-3)x-9) be (3)?ExpertLevel 32