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Polynomials Calculator

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Example
Created on 2024-06-20Asked by Ella Campbell (Solvelet student)
Calculate the sum of f(x)=3x22x+5 f(x) = 3x^2 - 2x + 5 and g(x)=2x2+4x7 g(x) = 2x^2 + 4x - 7 .

Solution

To calculate the sum of f(x)=3x22x+5 f(x) = 3x^2 - 2x + 5 and g(x)=2x2+4x7 g(x) = 2x^2 + 4x - 7 : 1. Add the corresponding coefficients of like terms: f(x)+g(x)=(3x2+2x2)+(2x+4x)+(57)=5x2+2x2. \begin{aligned} f(x) + g(x) &= (3x^2 + 2x^2) + (-2x + 4x) + (5 - 7) \\ &= 5x^2 + 2x - 2. \end{aligned} Therefore, the sum of f(x) f(x) and g(x) g(x) is 5x2+2x2 5x^2 + 2x - 2 . Solved on Solvelet with Basic AI Model
Some of the related questions asked by Avery Wright on Solvelet
1. Identify the degree and number of terms in the polynomial 2x35x2+4x1 2x^3 - 5x^2 + 4x - 1 .2. Add the polynomials (3x2+2x1)(3x^2 + 2x - 1) and (4x35x+3)(4x^3 - 5x + 3).
DefinitionPolynomials are algebraic expressions which are purely built using variables and coefficients and are combined with only addition, subtraction, multiplication and non-negative integer exponent. I will illustrate this with an example: polynomial P(x)=4x3−3x2+2x−5 that is a cubic polynomial since its highest degree term is x3.
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