Question

If the factored form of a quadratic is 4(x - 3)(2x + 5) = 0, what are the roots? A. 2,-3, and 5/2 B. 3 and -5/2 C. -3 and 2/5 D. - 3 and 5/2​

Answer 1

• B. 3 and -5/2

Explanation:

• The roots of a quadratic equation make the value of the equation equal to 0

Here, the equation is :

• 4(x - 3)(2x + 5) = 0

So, whatever values of x makes the equation 0 are the roots.

Hence,

• x - 3 = 0
• 2x + 5 = 0

1st x value

• x - 3 = 0
• x = 3

2nd x value

• 2x + 5 = 0
• 2x = -5
• x = -5/2

The roots are 3 and -5/2.