3. (10 points) imagine that we can quarantine infected members of the population, so that they are unable to transmit the disease to others. let q represent the fraction of the infected population which is quarantined, and let 1-q represent the fraction of the infected population that is not quarantined and can transmit the disease to the susceptible individuals. a. rewrite the difference questions for sit+1] and it+1] (from question 1), to incorporate the effects of quarantine. (hint quarantine should affect the term representing the proportion of susceptible individuals who are infected each time step) b. quarantine can be viewed as a way of modifying the transmission coefficient (a) by reducing the number of individuals which can be infected. this modified transmission coefficient can be referred to as a. write an equation for a that incorporates both a and q.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!