Question

find the value of polynomial x²-9 for x= 97

Answer 1

$(97){}^{2} - 9 \\ 9409 - 9 \\ 9400 \: ans.$
I hope it helps you..

Answer 2

Given,

A polynomial: x²-9

To find,

The value of the polynomial for x = 97.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If a and b are any two variables, then, there exists an algebraic identity such that,

(a)^2 - (b)^2 = (a+b)(a-b)

{Statement-1}

On simplifying and factorizing the given algebraic expression, we get;

x² - 9

= (x)² - (3)²

= (x+3)(x-3)

{according to statement-1}

So, the value of the given polynomial for x = 97 is calculated as:

x² - 9

= (x+3)(x-3)

= (97+3)(97-3)

= 100 × 94 = 9400

Hence, the value of the given polynomial for x = 97 is 9400.