A polynomial function has zeros at x = 5, x=5/3, x= 2/5 and x = 7 and a leading coefficient of -5. Write the polynomial function in factored form.

The polynomial function in the factored form is P(x) = -5 ( x - 5) (x -   ) ( x - ) (x - 7)

Step-by-step explanation:

Let P(x) be a polynomial

As given, zeroes of the polynomial are at x = 5 ,x = ,  x = , x = 7

So , the factors of the polynomial for the root x = 5  is  ( x - 5)

the factors of the polynomial for the root x = is(x -   )

the factors of the polynomial for the root x =   is( x - )

the factors of the polynomial for the root x = 7 is(x - 7)

Also leading coefficient is of -5

⇒ P(x) = -5 ( x - 5) (x -   ) ( x - ) (x - 7)

∴ we get,

The polynomial function in the factored form is P(x) = -5 ( x - 5) (x -   ) ( x - ) (x - 7)

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: