Division of polynomials and the remainder theorem (HSC SSCE Mathematics Extension 1): Flashcards
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Practise the cards
10 cards from this deck
What is the polynomial you are dividing called?
What is the polynomial you are dividing called?
The polynomial is called the dividend.
What do you call the polynomial you divide by?
What do you call the polynomial you divide by?
The polynomial is called the divisor.
What is the result of polynomial division called?
What is the result of polynomial division called?
The result is called the quotient.
What is left after polynomial division called?
What is left after polynomial division called?
It is called the remainder.
What must be true about the remainder's degree?
What must be true about the remainder's degree?
It must be less than the degree of the divisor.
What does the Remainder Theorem state?
What does the Remainder Theorem state?
Remainder equals P(a) when dividing by x-a.
How do you find the remainder using the theorem?
How do you find the remainder using the theorem?
Evaluate P(a) for the divisor x-a.
What does the Factor Theorem help identify?
What does the Factor Theorem help identify?
It helps identify polynomial roots.
If P(a) = 0, what can be said about (x-a)?
If P(a) = 0, what can be said about (x-a)?
(x-a) is a factor of P(x).
What is a key similarity in polynomial division?
What is a key similarity in polynomial division?
Align terms by their degree, like numeric division.