Answer:
Step-by-step explanation:
Rewrite 3x²-12x+16 as follows:
3(x^2 - 4x) + 16
Complete the square of x^2 - 4x; it is (x - 2)^2 - 4. We then have:
3( (x - 2)^2 - 4) + 16, or:
3(x - 2)^2 - 12 + 16, or
3(x - 2)^2 + 4
Then a = 3, p = -2 and q = 4
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Completing the square of x^2 - 4x is done as follows:
1. Identify the coefficient of x: It is -4.
2. Take half of this result: It is -2
3. Square this, and then add the square to x^2 - 4x, and then subtract it:
x^2 - 4x = x^2 - 4x + 4 - 4
4. Rewrite this result in the form (x - a)^2 - c:
(x - 2)^2 - 4
5. Now follow the remainder of the problem solution (given above)
