The factor theorem (AQA GCSE Further Maths): Flashcards
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12 cards from this deck
Factor theorem connects
Factor theorem connects
Factors of a polynomial and its roots
If is a factor of , then
If is a factor of , then
If , then factor is
If , then factor is
Define polynomial
Define polynomial
Algebraic expression with terms of different powers of a variable
Degree of a polynomial
Degree of a polynomial
Determined by its highest power
Which values to test first for integer roots
Which values to test first for integer roots
Factors of constant term (positive & negative)
Tool to use after finding one factor
Tool to use after finding one factor
Polynomial long division
Extended theorem: If , then factor is
Extended theorem: If , then factor is
To show is a factor
To show is a factor
Substitute and show result equals zero
Common mistake when finding factors
Common mistake when finding factors
Forgetting to test negative values
When , you've found
When , you've found
Both a root and a linear factor
For polynomial with leading coefficient , test
For polynomial with leading coefficient , test
Fractional values using extended form