Build a quadratic from its roots; sum and product of roots

Question 1

Write a quadratic x² + bx + c with roots −5 and −7. Type it.

Answer 

Question 2

Without solving, find the product of the roots of 2x² − 6x − 3 = 0. Give a fraction if needed.

Answer (as a fraction)

Question 3

Write a quadratic x² + bx + c with roots 8 and 3. Type it.

Answer 

Question 4

Without solving, find the product of the roots of 6x² + 8x − 2 = 0. Give a fraction if needed.

Answer (as a fraction)

Question 5

Write a quadratic x² + bx + c with roots −8 and 6. Type it.

Answer 

Question 6

Without solving, find the product of the roots of 4x² − 6x + 5 = 0. Give a fraction if needed.

Answer (as a fraction)

Question 7

Write a quadratic x² + bx + c with roots 0 and −5. Type it.

Answer 

Question 8

Without solving, find the sum of the roots of 4x² + 3x + 2 = 0. Give a fraction if needed.

Answer (as a fraction)

Question 9

Write a quadratic x² + bx + c with roots −7 and −8. Type it.

Answer 

Question 10

Without solving, find the product of the roots of 4x² − 3x + 6 = 0. Give a fraction if needed.

Answer (as a fraction)

Question 11

Write a quadratic x² + bx + c with roots −6 and 5. Type it.

Answer 

Question 12

Without solving, find the product of the roots of 3x² − 12x + 10 = 0. Give a fraction if needed.

Answer (as a fraction)

Question 13

Write a quadratic x² + bx + c with roots −5 and −4. Type it.

Answer 

Question 14

Without solving, find the product of the roots of 5x² + 8x + 10 = 0. Give a fraction if needed.

Answer (as a fraction)

Question 15

Write a quadratic x² + bx + c with roots 6 and −8. Type it.

Answer 

Question 16

Without solving, find the sum of the roots of 5x² − 9x − 7 = 0. Give a fraction if needed.

Answer (as a fraction)