Vieta's Formulas(Sum and Product of Roots)

2x² - 6x - 7 = 0
What are the sum and the product of roots?

• Sum = 3
  Product = 7/2
• Sum = - 3
  Product = - 7/2
• Sum = - 3
  Product = 7/2
• Sum = 3
  Product = - 7/2

What is the sum of the roots of x² - 6x - 5 = 0?

• 6
• -6
• -5
• 5

Write a quadratic equation in standard form with the given roots: -2, -5

• x² - 3x - 10

• x² + 7x + 10

• x² - 7x + 10

• x² + 2x - 10

Tags

CCSS.HSA.REI.B.4

 $ax^2+bx+c=0$  
What are the sum and product of roots?

• Sum = $-\frac{b}{a}$  and Product =  $-\frac{c}{a}$  

• Sum = $-\frac{b}{a}$  and Product =  $\frac{c}{a}$  

• Sum = $\frac{b}{a}$  and Product =  $-\frac{c}{a}$  

• Sum = $\frac{b}{a}$  and Product =  $\frac{c}{a}$  

$x^2+3x+4=0$
What is the sum of roots?

• Sum = 3

• Sum = 4

• Sum = -3

• Sum = -4

 $x^2-3x-4=0$ 
What is the product of roots?

• Product = 3

• Product = 4

• Product = -3

• Product = -4

 $-2x^2-5x+1=0$  
What are the sum and product of roots?

• Sum = $-\frac{5}{2}$  and Product =  $\frac{1}{2}$  

• Sum = $-\frac{5}{2}$  and Product =  $-\frac{1}{2}$  

• Sum = $\frac{5}{2}$  and Product =  $\frac{1}{2}$  

• Sum = $\frac{5}{2}$  and Product =  $-\frac{1}{2}$  

 $5x^2=10-6x$  
What are the sum and product of roots?

• Sum = $-2$  and Product =  $-\frac{6}{5}$  

• Sum = $2$  and Product =  $\frac{6}{5}$  

• Sum =  $-\frac{6}{5}$  and Product =  $-2$  

• Sum =  $\frac{6}{5}$  and Product =  $2$  

Write the quadratic equation whose roots are 3 and 7.

• x² - 10x + 21 = 0
• x² + 10x + 21 = 0
• x² - 10x - 21 = 0
• x² + 10x - 21 = 0

In the quadratic equation 2x² + kx - 10, one of the roots is 2, what is the other root?

• 3

• -3

• 5/2

• -5/2