An incomplete graph of the polynomial function ​f(x)=4x^4 - 12x^3 - 8x^2 + 8x + 48 is shown on the right. a. Find all zeros of the function.
b. Without using a graphing​ utility, draw a complete graph of the function.

a. The zeros of the function are nothing.
​(Use commas to separate answers as needed. Use integers or fractions for any numbers in the answers. Express complex numbers in terms of ​.)

answer: 4

step-by-step explanation:

think about it deeply and passionately about this property

i am sorry

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

discussion:

in general, the factorization of a^3 + b^3 is

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

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

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

you,

mrb

(a + b) (a^2 - a b + b^2)