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

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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step-by-step explanation: