# Synthetic Division, Intermediate Value Theorem and Asymptotes

21) Use synthetic division to find: f(?2)

f(x)=2x3?3x2+7x?12 21)

22) For the function f(x) = ?x3 + 8x2 ? 40

Show how to use synthetic division to find out if -1 is a zero.

22)

23) One of the zeros of the function f(x) = ? 7x2 + 17x ?15 is 2-i. Find all the other zeros.

23) ____________________

24) Use the intermediate value theorem to show that f(x) = 3x2 ? x ? 4 has a real zero between

1 and 2

24) _____

25) For the function: f(x)=

a) give the equation of any vertical, horizontal, or oblique asymptotes.

b) find the x-intercept(s) 25)aL.

c) find the y-intercept(s)

d) carefullysketchthegraph b)

c)

d)

4x2 1

26) Carefully sketch the graph of f(x)= 26)

x+1

27) Suppose p varies directly as z and inversely as m2 and r2.

Ifp= whenz 1, m 2,andr 3, findpwhenz 3,m 1,and r 8.

27) ____

keywords: IVT

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Solution to 21

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#### Solution Summary

Synthetic Division, Intermediate Value Theorem and Asymptotes are investigated. Zero functions for intermediate value theorems are determined