The factored form of the polynomial n² – 25 is (n + 5)(n - 5) option (B) (n + 5)(n - 5) is correct.
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)
The options are:
- (n – 25)(n – 1)
- (n – 5)(n + 5)
- (n - 5)(n + 5)
- (n – 25)(n + 1)
We have a polynomial:
n² – 25
As we know,
The expression is defined as the combination of constants and variables with mathematical operators.
We can apply the polynomial identity:
a² - b²= (a + b)(a - b)
Applying the above polynomial identity:
= n² – 25
= (n + 5)(n - 5)
Thus, the factored form of the polynomial n² – 25 is (n + 5)(n - 5) option (B) (n + 5)(n - 5) is correct.
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