Which expression is the greatest common factor (gcf) of the terms of trinomial 12x^7y^9 + 6x^4y^7 - 10x^3y^5

 2.  

Step-by-step explanation:

The given expression :

Term 1 :

Term 2 :

Term 3:

Lowest power of x = 3

Thus  , The highest common power of x =   (i)

Lowest power of y = 5

The highest  common power of y = (ii)

Greatest common factor of 12, 6 , -10= 2  [Because 2 is the largest number that divides all of them]   (iii)

From (i) , (ii) , (iii) , we have

Greatest common expression :

Hence, the correct answer is 2.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0