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\nUsing the remainder theorem to confirm if you have a zero or not\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...\n👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is given by f(a). The factor theorem is a special case of the remainder theorem which states that if f(a) = 0, then x - a is a factor of the polynomial f(x). Thus, given a polynomial, f(x), to see if a linear binomial of form x - a is a factor of the polynomial, we solve for f(a). If f(a) = 0, then x - a is a factor, and x - a is not a factor otherwise. These two theorems help us understand how we better understand the relationship between a polynomial function, its factors, and the remainder. Using the theorem also can save us time from determining if we have a factor or zero of a polynomial without having to use division.\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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4:44
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2013
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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zeros, division, remainder theorem, synthetic division, x-intercepts
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how to find the zeros of a polynomial, how to determine the zeros, how to find the zeros, zeros of a polynomial, how to find, how to determine, how to, find, polynomial, root, given one zero, given one factor, factor, g(x) = x^6–4x^4+3x^2+2, free math videos, brian mclogan, remainder theorem polynomials, synthetic division and remainder theorem, synthetic division to find zeros, synthetic division remainder of zero, 6th power, thing, missing, remainder, problem, function, verify, answer, method, plug, remember, determine, plugging, alright, make, guys, methods, apply, bring, exact, number, wrong
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