Polynomials Archives - GeeksforGeeks

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Polynomials

11 posts

How to Find the x Intercept of a Polynomial Function

Last Updated: 23 July 2025

To find the x-intercepts of a polynomial function, you need to determine the values of x for which the polynomial equals zero.Let's discuss the method for finding x-interc...read more

How do you Write a Polynomial Function with Given Zeros

Last Updated: 23 July 2025

To write a polynomial function with given zeros, we first need to convert the zeroes into factors by expressing each zero as (x - a) where a is the zero. For example, if t...read more

School Learning

How to Factor Trinomials when a is not 1

Last Updated: 01 August 2024

To factor trinomials ax2 + bx + c when a ≠ 1, we can use the AC method (Splitting the Middle Term) i.e., multiply a and c, find factors summing to b, rewrite, group, and f...read more

Factorization of Polynomials Practice Problems

Last Updated: 23 July 2025

Factoring polynomials is a fundamental skill in algebra that involves breaking down a polynomial into simpler factors that, when multiplied together, give the original pol...read more

School Learning

maths-polynomial

Practice Questions on Remainder theorem | Class 9 - Chapter 2 Polynomials

Last Updated: 04 April 2024

Question 1. Find the remainder when x3 + 3x2 + 3x + 1 is divided by(i) x + 1Solution:x + 1 = 0x = −1Therefore remainder will be f(x):f(−1) = (−1)3 + 3(−1)2 + 3(−1) + 1= −1...read more

School Learning

Rational Exponents

Last Updated: 21 September 2026

Rational exponents (or fractional exponents) are exponents written as fractions, such as \frac{1}{2}, \frac{3}{4}, \frac{2}{3}, and . They provide a way to express powers...read more

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School Learning

HCF and LCM of Polynomials

Last Updated: 23 July 2025

HCF (Highest Common Factor) and LCM (Least Common Multiple) of polynomials are concepts similar to those for integers. The HCF of two polynomials is the largest polynomial...read more

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School Learning

What is Monomial?

Last Updated: 23 July 2025

A monomial is a single-term algebraic expression. It can be a constant, a variable, or a product of numbers and variables where the variables have non-negative integer exp...read more

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Multiplication of Algebraic Expression

Last Updated: 23 July 2025

Multiplication of algebraic expressions involves combining algebraic terms using the multiplication operation. The process can involve monomials, binomials, or more comple...read more

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School Learning

Cube of Binomial

Last Updated: 23 July 2025

Cube of Binomial as the name suggests is the third power of any binomial expression. Cube of Binomial follows a specific formula, which is (a + b)3 = a3 + 3a2b + 3ab2 + b3...read more

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School Learning

Graph of Polynomial Functions

Last Updated: 05 March 2026

A polynomial function is a function made by adding and subtracting powers of a variable (like x) multiplied by numbers (called coefficients).General form: f(x) = anxn + an...read more

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