rewrite in standard form 2x^2+4x-1

Question

rewrite in standard form 2x^2+4x-1

Answer 1

The given expression is 2x² + 4x - 1

Taking 2 out from the first two terms; 2(x² + 2x) - 1

Using the coeffient of x in the paranthesis 2;

(1/2 X 2)² = 1² = 1

Adding and subtracting 1 to complete the square in the paranthesis

2(x² + 2x + 1) - 1 - (2X1)

2(x² + 2x + 1) -1 - 2

2(x +1)² - 3  -------standard form