The Roots Of A Quadratic Equation Are -5 And 3. Which Of The Following Quadratic Equations, Has These Roots?, A. &- 8x + 15 = 0, C. 2\Xb2 2013 2x 2013

The roots of a quadratic equation are -5 and 3. Which of the following quadratic equations

has these roots?
A. &- 8x + 15 = 0
C. 2² – 2x – 15 = 0
B. x2 + 8x + 15 = 0
D. x2 + 2x - 15 = 0

 

Answer:

(D.) x² + 2x - 15 = 0

Step-by-step explanation:

To determine the equation given the roots:

x² - (sum of roots)x + (product of roots) = 0

Given roots: {-5, 3}

Substitute:

x² - (-5) + (3)x + (-5)(3) = 0

x² - (-2)x - 15 = 0

x² + 2x - 15 = 0


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