A standard cubic polynomial is written as ax3 + bx2 + cx + d. Setting the coefficient of the x2 term to -7 gives a valid polynomial of degree 3, such as x3 – 7×2 + x + 1.
Write a polynomial of degree 3 in the variable x, in which the coefficient of the x2 term is –7.
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A polynomial of degree 3 must have a maximum exponent of 3 on its variable. The general expression can be represented as ax3 + bx2 + cx + d where a cannot be zero. Following the specific instruction that the coefficient of the x2 term must be exactly -7, we can choose arbitrary values for the other coefficients. An appropriate and simple polynomial satisfying these conditions is x3 – 7×2 + x + 1.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/