Question

If one root of the equation 3x²+ax+2=0 is -2.find the value of a and the other root.

Answer 1

Step-by-step explanation:

p(x)=3x2+ax+2

p(-2)=0

3(-2)^2-2a+2=0

-2a=-14

a=7

p(x) = 3x2+7x+2

3x2+6x+x+2

3x(x+2)+1(x+2)

(x+2)(3x+1)

x+2=0 or 3x-1=0

x=-2 or x= 1/3

other root is 1/3