Question

If 2x2 + 8x – 14 = 0, find the sum and the product of its roots.

a. sum = 4; product = 7 c. sum = -4; product = -7
b. sum = -4; product = 7 d. sum = 4; product = -7

Answer 1

c

Explanation:

given a quadratic equation in standard form

ax² + bx + c = 0

then

sum of roots = -
`(b)/(a)`

product of roots =
`(c)/(a)`

2x² + 8x - 14 = 0 ← is in standard form

with a = 2 , b = 8 , c = - 14

sum of roots = -
`(b)/(a)` = -
`(8)/(2)` = - 4

product of roots =
`(c)/(a)` =
`(-14)/(2)` = - 7