Question

What is the factored form of this expression? x2 − 12x + 36

A. (x − 6)2
B. (x − 6)(x + 6)
C. (x + 6)2
D. (x − 12)(x − 3)

Answer 1

Answer:

The answer is A

Step-by-step explanation:

(x-6)2

=x2-12x+36

Answer 2

The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Option A is correct.

The factored form of the polynomial x² − 12x + 36 equation is to determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here, The given polynomial function f(x) =  x²− 12x + 36
Factorization of a given polynomial function,
f(x) = x²− 12x + 36
spitting 12x in 6x+ 6x
f(x) = x²− 6x-6x + 36
taking commons
f(x) = x(x− 6)-6(x - 6)
f(x) = (x− 6)(x - 6)
f(x) = (x− 6)² is the factorized form of  f(x) =  x²− 12x + 36.

Thus, The required factor form of the polynomial equation x²-12x+36 is (x-6)².

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