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)

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

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step-by-step explanation:

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