What are the roots of this function? f(x) = x2 – 8x + 12 a) {2, 6} b) {8, 12} c) {-3, -4} d) {-4, -4}

Option A is correct.

the root of the given function is, {2, 6}

Step-by-step explanation:

Given the function:  

To find the root of the given function;

Set f(x) = 0

⇒

In the Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.

Step 1. Find the product of 1st term and the last.

Product =

Step 2. Find the factors of 12 in such way that addition or subtraction of that factors is the middle term, i.e -8x(Splitting of middle term)

Factor =

Therefore, -6-2= -8

Step 3. Group the terms to form pairs:

(x-6)(x-2) = 0

By zero product property ; we have

⇒x -6 = 0 and x -2 = 0

⇒x =6 and x = 2

Therefore, the roots of the function   is, 2 and 6

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