P is of degree 2; P(0)= 12; zeros: 2,3

Write a polynomial function, P, in factored form and in standard form by using the given information. Please show work. :-)

Step-by-step explanation:

Factored form:  (x-2)(x-3) = 0

Standard form:

α and β are zeros of the polynomials.

here α = 2  & β = 3

Equation: x² - (α+β)x + αβ = 0

x² - (2+3)x + 2*3 = 0

x² - 5x + 6 = 0

x= 149. 24+7=31. 180-31=149

your welcome

step-by-step explanation: