Find the zeros and fully factor f(x)=x^3+x^2-10x-6, including factors for irrational zeros. Use radicals, not decimal approximations.
Added by Carla R.
Step 1
The Rational Root Theorem states that any rational zero of a polynomial function will be a factor of the constant term divided by a factor of the leading coefficient. In this case, the constant term is -6 and the leading coefficient is 1. So, the possible rational Show more…
Show all steps
Close
Your feedback will help us improve your experience
Donna Densmore and 100 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the zeros of the function algebraically. Give exact answers. $$f(x)=x^{2}+6 x-3$$
Quadratic Functions and Equations; Inequalities
Quadratic Equations, Functions, Zeros, and Models
Use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f over the real numbers. $$ f(x)=x^{3}+2 x^{2}-5 x-6 $$
Polynomial and Rational Functions
The Real Zeros of a Polynomial Function
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD