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  • 26-04-2022
  • Mathematics
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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​

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Аноним Аноним
  • 26-04-2022

Answer:

  • B. 3 and -5/2

Step-by-step 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.

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