Question

Find the minimum value of the following expression:
$3 {x}^{2} + 4x + 7$
​

Answer 1

Answer:

Step-by-step explanation:

$3 {x}^{2} + 4x + 7 \\ = 3 {x}^{2} + (3 + 7)x + 7 \\ = 3 {x}^{2} + 3x + 7x + 7 \\ = 3x(x + 1) + 7(x + 1) \\ = (x + 1)(3x + 7)$

Answer 2

$\huge{ \underline{ \bold{ᴀɴsᴡᴇʀ....{ \heartsuit}}}}$

$$\begin{lgathered}3 {x}^{2} + 4x + 7 \\ = 3 {x}^{2} + (3 + 7)x + 7 \\ = 3 {x}^{2} + 3x + 7x + 7 \\ = 3x(x + 1) + 7(x + 1) \\ = (x + 1)(3x + 7)\end{lgathered}$$