Factor Theorem | Algebra | Chegg Tutors

Factor Theorem | Algebra | Chegg Tutors

Factor Theorem | Algebra | Chegg Tutors

The factor theorem is a theorem linking factors and zeros of a polynomial. It is commonly applied to factorizing and finding the roots of polynomial equations. The theorem states that x-r is a factor of a polynomial f(x)if f(r) = 0 ;that is, r is a root of f(x). Factor theorem problems are typically solved by applying synthetic division and then checking for a zero remainder. The remainder theorem is often used with the factor theorem. It states that if a polynomial f(x) is divided by a linear divisor x-r, the remainder is f(r). If f(r) = 0, then the remainder is 0 and f(x) = (x-r)Q(x), showing that is a factor of f(x).


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About Chris W., Algebra tutor on Chegg Tutors:

University of Pennsylvania, Class of 2007
Math, Computer Science major

Subjects tutored: LaTeX, ACT (math), SAT (math), SSAT (math), Information Technology, Discrete Math, SAT II Mathematics Level 2, Basic Math, Web Design, Numerical Analysis, Geometry, Pre-Calculus, SAT II Mathematics Level 1, GRE, Pre-Algebra, Software Engineering, Set Theory, Applied Mathematics, Computer Certification and Training, Number Theory, Statistics, Linear Algebra, PSAT (math), Linear Programming, Computer Science, Calculus, Trigonometry, Algebra, and Geometry (College Advanced)

Over 7 years of experience teaching math at 3 universities and a community college. Courses ranged from Intermediate Algebra to Calculus II and class sizes varied from 2 to over 200 students. Tutoring since 2000 formally and informally, individually and in groups, for courses from Geometry to Differential Equations. Please note that I generally will not be available for audio and video in live lessons but my experience has been that audio and video aren’t really needed.

Hiking, reading, video games, playing the guitar and piano.

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