1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4 (2 * 2)

9 (3 * 3)

16 (4 * 4)

25 (5 * 5)

36 (6 * 6)

2) Square root of 4x² is 2x (product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [ - b ± √ (b² - 4ac) ]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [ - 20 ± √ (20² - 4 * 4 * 25) ]/2 * 4

x = [ - 20 ± √ (400 - 400) ]/8

x = [ - 20 ± 0]/8

x = - 20/8

x = - 2.5