Remainder theorem: Let P(x)be a polynomial of degree greater or equal to 1. Let a be any real number. If P(x) is divided by (x-a) then the remainder is P(a).
Factor Theorem :Let P(x)be a polynomial of degree greater or equal to 1. Let a be any real number.
(1) If (x-a) is a factor of P(x) then P(a)=0
(2) If P(a) = 0 then (x-a) is a factor of P(x)
For understanding the concept click here!!!
Do the following questions in your note book.
Q1 Using Remainder theorem, find the remainder when P(x) = 3x^2+ 5x − 8 is divided by
(x − 2).
Q2 By using the remainder theorem, find the remainder when 3x^3 − x^2 − 20x + 5 is divided by (x + 4).
Q3 Is (x + 1) a factor of f(x) = x^3+ 2x^2 - 5x - 6 ?
Q4 Use the factor theorem to find if (x - 2) is a factor of
P(x) = x^5 - 2x^4 + 3x^3 - 6x^2 - 4x + 8.
Also, practice atleast 10 questions based on Remainder theorem from here in your notebook.
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