Quotient and remainder, polynomial division.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Apply the remainder and factor theorems.
", "advice": "The polynomial remainder theorem is useful here, it states that the remainder of the division of a polynomial $f(x)$ by a linear polynomial $x-a$ is equal to $f(a)$.
\nTo find the quotient, here are two methods:
\n1) Perform polynomial long division
\n2) First find the remainder by the polynomial remainder theorem. Minus the remainder from the initial polynomial, then factorise.
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\n$R = f($[[0]]$)=$[[1]]
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\n$R =$ [[0]]
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\n$Q(x) =$ [[0]]
\n$R =$ [[1]]
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