Stitz-Zeager_College_Algebra_e-book

We can verify our handiwork using the techniques

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x2 − 399x + 90 (n) p(x) = 9x3 − 5x2 − x 7 1 1 2. Find the real zeros of f (x) = x3 − 12 x2 − 72 x + 72 by first finding a polynomial q (x) with integer coefficients such that q (x) = N · f (x) for some integer N . (Recall that the Rational Zeros Theorem required the polynomial in question to have integer coefficients.) Show that f and q have the same real zeros. 3. Solve the polynomial inequality and give your answer in interval form. (a) −2x3 + 19x2 − 49x + 20 > 0 (e) 4x3 ≥ 3x + 1 (b) x4 − 9x2 ≤ 4x − 12 (f) (c) (x − 1)2 ≥ 4 (g) (d) 7 −5x3 + 35x2 − 45x − 25 > 0 x3 +2x2 <x+2 2 4 ≤ 16 + 4x − x x3 (h) 3x2 + 2x < x4 4. Let f (x) = 5x7 − 33x6 + 3x5 − 71x4 − 597x3 + 2097x2 − 1971x + 567. With the help of your classmates, find the x- and y - intercepts of the graph of f . Find the intervals on which the function is increasing, the intervals on which it is decreasing and the local extrema. Sketch the graph of f , using more than one picture if necessary to show all of the important features of the graph....
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online