Question

The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is which type of equations

Answer 1

The polynomial equation x(x + 1) + 8 = (x + 2)(x - 2) is Linear Equation

Given :

The given equation x(x + 1) + 8 = (x + 2)(x - 2)

To find :

The type of the equation

Solution :

Step 1 of 2 :

Simplify the given equation

Here the given equation is

x(x + 1) + 8 = (x + 2)(x - 2)

We simplify it as below

$\displaystyle \sf{ x(x+1) + 8 = (x+2)(x-2)}$

$\displaystyle \sf{ \implies {x}^{2} + x+ 8 = {x}^{2} - 4 }$

$\displaystyle \sf{ \implies x + 12 = 0}$

Step 2 of 2 :

Name the polynomial equation

The variable is x

The highest power of its variable that appears with nonzero coefficient is 1

So the polynomial equation is Linear Equation

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