Question

(1) Consider the polynomial function $f(x) = (x + 12)(x + 13)(x + 14)(x - 303)(x - 304)$. (a) List the real zero(s) of $f(x)$. (b) Sketch the graph of $f(x)$. Make sure the key qualitative features of the graph are clearly visible in your graph, including the above information you found about the zeros. You do not have to draw your graph to scale; in fact, it may not be possible to draw the graph to scale and also make the key features of the graph clearly visible.

          (1) Consider the polynomial function $f(x) = (x + 12)(x + 13)(x + 14)(x - 303)(x - 304)$. 
(a) List the real zero(s) of $f(x)$. 
(b) Sketch the graph of $f(x)$. Make sure the key qualitative features of the graph are clearly visible in your graph, including the above information you found about the zeros. You do not have to draw your graph to scale; in fact, it may not be possible to draw the graph to scale and also make the key features of the graph clearly visible.

(1) Consider the polynomial function f(x) = (x + 12)(x + 13)(x + 14)(x - 303)(x - 304).
(a) List the real zero(s) of f(x).
(b) Sketch the graph of f(x). Make sure the key qualitative features of the graph are clearly visible in your graph, including the above information you found about the zeros. You do not have to draw your graph to scale; in fact, it may not be possible to draw the graph to scale and also make the key features of the graph clearly visible.

Added by Javier E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kathleen Carty

11/08/2022

Step 1

The Rational Root Theorem states that if a polynomial has a rational root p/q, then p is a factor of the constant term and q is a factor of the leading coefficient. Show more…

Show all steps

Thanks for your feedback!

1. Consider the polynomial function f(x) = x^4 + 12x^3 + 13x^2 + 14x - 303x - 304. a) List the real zeros of f. b) Sketch the graph of f. Make sure the key qualitative features of the graph are clearly visible in your graph, including the above information you found about the zeros. You do not have to draw your graph to scale; in fact, it may not be possible to draw the graph to scale and also make the key features of the graph clearly visible.