A polynomial P has zeros when x=0, x=-1/6 and x=-3 Whats could be the equation p?

Step-by-step explanation:

The formula to calculate the equation of the polynomial is given by :

where : and are the zeros , that is , the roots of the equation.

substituting the zeros into the equation , we have :

⇒

expanding , we have

⇒

multiplying through by 6 , we have

⇒

therefore , the equation P  is  

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb