Let h be a polynomial function. Which statements indicate that −3 is a zero of h ? Select all that apply. h(−3)=0 h of negative 3 is equal to 0

h(0)=−3 h of 0 is equal to negative 3

(x−3) is a factor of h open paren x minus 3 close paren is a factor of h

(x+3) is a factor of h open paren x plus 3 close paren is a factor of h

The graph of h(x) shows an intercept at x=−3 The graph of h of x shows an intercept at x is equal to negative 3

The graph of h(x) shows an intercept at y=−3 .
The graph of h of x shows an intercept at y is equal to negative 3.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?