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Polynomial Equation Solver
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A polynomial is something which is expressed in the form of a(xn) where n is non-negative integer.The variable 'a' is called as coefficient of xn and n is the degree of the monomial.

The general representation of polynomial is given by
F(x) = anxn + an-1xn-1 + an-2xn-2 + ........ + a1x +a0

Polynomial Equation Solver solves the polynomial equation. The polynomials will be of the form: A(x) = B(x)
where A(x) and B(x) are the polynomials.

You can see a default equation given below. The calculator first factorize the equation with least common denominator to reduce the equation. Then, by solving the given equation, the calculator will find the value of the variable when you click on "Solve Equation".

## Steps for Polynomial Equation Solver

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Step 1 :

Reduce the given fraction by multiplying with least common denominator.

Step 2 :

Simplify the given equation

Step 3 :

Bring the terms of left side to the right side by changing the signs.

Step 4 :

Lastly get the value of variable by solving the equation.

## Problems on Polynomial Equation Solver

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1. ### Solve:$\frac{4x^{2} + 1}{3}$ = $\frac{3x^{2} + 5}{5}$

Step 1 :

Multiply the whole polynomial equation by 15, we get

15 $\times$ $\frac{4x^{2} + 1}{3}$ = 15 $\times$ $\frac{3x^{2} + 5}{5}$

or

5 (4x2 + 1) = 3 (3x2 + 5)

Step 2 :

20 x2 + 5 = 9x2 + 15

Step 3 :

11 x2 - 10 = 0

or

x2 = $\frac{10}{11}$

Step 4 :

Solving the equation, we get

x = $\pm$ $\sqrt \frac{10}{11}$

Answer  :

There are two values:

x1 = +$\sqrt \frac{10}{11}$ and

x2 = $\sqrt \frac{10}{11}$.

2. ### Solve: 2x2 - 3 = x

Step 1 :

Since the polynomial equation is not in fraction the equation remains as it is.

Step 2 :

The given equation is also in simplified form so the equation remains the same.

Step 3 :

2x2- 3 - x = 0

Step 4 :

solving the quadratic equation we get

2x2 - 3x + 2x -3 = 0

x(2x - 3)+ 1(2x - 3) = 0

(x + 1)(2x - 3) = 0

Answer  :

There are again two values for x :

x1 = -1 and

x2 = $\frac{3}{2}$.

*AP and SAT are registered trademarks of the College Board.