Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5). write the equation of this cubic polynomial function. recall that the zeroes are (2, 0), (3, 0), and (5, 0). what is the y-intercept of this graph?
–5
–2
3
5

Equation of the polynomial function is

The y-intercept is -5

Step-by-step explanation:

According to the Descarte's theorem , a polynomial p(x) that has a zero r, that is p(r)=0, then it follows (x-r) is a factor of p.

If f(x) has zeros 2,3 and 5 then f(x) has factors (x-2),(x-3) and (x-5) hence to find the equation

f(x)=a(x-2)(x-3)(x-5)

f(x)={a(x-2)(x-3)(x-5)}-----------------------expand

f(x)={a (x(x-3)-2(x-3)⇒x²-3x-2x+6⇒x²-5x+6

f(x)={a (x²-5x+6)(x-5)}

f(x)={a x(x²-5x+6)-5(x²-5x+6)}

f(x)=a(x³-5x²+6x-5x²+25x-30)

Given that we have one hang point (0,-5), let x=0, f(x)=-5 find a

-5=a(0-0+0-30)

-5=-30a

a=-5/-30

a=1/6

Equation⇒ f(x)=1/6 (x³-10x²+31x-30)

To get y-intercept plugin x=0 in the equation , you notice the value of the function will be -5, hence y-intercept is -5

umumumumum

im not sure

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: