Question

The polynomial equation x(x+1)+8=(x+2)(x-2) is * a)Linear Equation b)Quadratic equation c)Cubic equation d)Biquadratic equation

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

a) Linear Equation

b) Quadratic equation

c) Cubic equation

d) Biquadratic 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

Hence the correct option is a) Linear Equation

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Identify the algebraic linear equations from the given expressions. (a) x2 + x = 2 (b) 3x + 5 = 11 (c) 5 + 7 = 12 (d) x ...

https://brainly.in/question/20800358

2. Which of the following is a linear equation :

a) x2+1 b) y+y2 c) 4 d) 1+z

https://brainly.in/question/10711037