Human blood is divided into 8 possible blood types. The rarest blood type is AB negative. Only 1​% of the population has this blood type. Suppose a random sample of 38 people is selected. Can we find the probability that more than 6​% of the sample have AB negative​ blood? If​ so, find the probability. If​ not, explain why this probability cannot be calculated. Select the correct choice below and fill in the answer box with in your choice if necessary.

ANSWER

The y-intercept is (0,-12).

The x-intercepts are (1,0),(2,0) and (6,0).

EXPLANATION

The given polynomial function is

To find the y-intercept, we substitute x=0 to get:

This simplifies to

Therefore the y-intercept is (0,-12).

To find the x-intercepts we need to factor completely the given polynomial.

We use synthetic division to get the remaining factors. We carried the division in the attachment.

This implies that

The complete factorization is:

For x-intercepts, f(x)=0.

This implies that, x=1,2,6.

The x-intercepts are (1,0),(2,0) and (6,0).