Polynomial Solver Polynomial Solver An expression which consists of constants, variables and exponent values and these values combined with mathematical operators which are addition, subtraction, multiplication, and these types of expressions are known as polynomials. These expressions are not combined with the division operator. And the exponent can be 0, 1, 2, 3, 4, 5, and 6 ….etc. polynomials cannot have infinite values. For example: 6xy2 – 4x + 5y3 – 4; This given equation is polynomial equation, in this equation the exponent is 0, 1, and 2; Negative and fractions values are not included in the polynomials expressions. For example: 4xy-3 and 2/y + 3; These given values are not polynomial. Now we will see the polynomial equation solver.
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In the polynomial equations some calculators are also used which are given below: Polynomial calculator; rational expression, Radical expressions, solving equations, these following calculators are used to solve the polynomial equations. These equations are in the form of x (p) = y (q), where these values x (p) and x (q) are polynomials. Now we will see some of the specials cases for such equations are: Linear equation which are in the form of (3x + 3 = 4); Quadratic equations which are in the form of (3x2 + 5x – 6 = 0); And cubical equation which is in the form of (5x3 + 5x2 – 6x + 8= 0); Now we will see how to solve polynomials equations: We will see the Polynomial Solver with the help of example which is given below: Example: suppose we have a polynomial equation:
4x2 – 2 + 3x + 2 = x2 – 4 + 1 2
4
5
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Then solve this polynomial equation: Solution: For solving this polynomial equation we have to some of the steps which are given below:
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Step1: first we eliminate factors of this equation by multiplying each side by the least common denominator. In this given polynomial equation the least common denominator is 20, so multiply 20 on both sides of the equations: On multiplying 20 on both sides we get: 4x2 – 2 + 3x + 2 = x2 – 4 + 1 2
4
5
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20 * 4x2 – 2 + 20 * 3x + 2 = 20 * x2 – 4 + 20 * 1 2
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On further solving we get: 10 (4x2 – 2) + 5 (3x + 2) = 4 (x2 – 4) + 5; Step2: Now we solve each side by avoiding the parenthesis and then combine the like term present in the expression; 10 (4x2 – 2) + 5 (3x + 2) = 4 (x2 – 4) + 5; 40x2 – 20 + 15x + 10 = 4x2 – 16 + 20; Now combine like term which is present in the expression: 40x2 - 4x2 + 15x = 10 – 16 + 20; Step3: Now we use the addition property to get all terms on one side of the equation: 36x2 + 15x – 14 = 0; Math.Tutorvista.com
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