POLYNIMIALS

POLYNIMIALS

1. A POLYNOMIAL OF ONE TERM IS CALLED MONOMIAL.

2. A POLYNOMIAL OF TWO TERMS IS CALLED BINOMIAL.

3. A POLYNOMIAL OF THREE TERMS IS CALLED TRINOMIAL.

4. 0 - CONSTANT

   • 1 - LINEAR
     • 2 - QUADRATIC
       • 3 - CUBIC
       • 6 - DEGREE OF 6....
     • 5 - QUINTIC
   • 4 - QUARTIC

5. A REAL NUMBER "a" IS SAID TO BE A ZERO OF THE POLYNOMIAL P(x) IF P(a) = 0

6. DIVISION ALGORITHM :- DIVIDENT = DIVISOR * QUOTIENT + REMAINDER

7. REMAINDER THEOREM :- IF F(x) IS A POLYNOMIAL, WHICH IS DIVIDED BY A LINEAR POLYNOMIAL (x - a), THEN THE REMAINDER IS F(a).

8. FACTOR THEOREM :- IF A POLYNOMIAL F(x) IS DIVIDED BY A LINEAR POLYNOMIAL (x - a), THEN IF F(x) = 0, THEN WE SAY (x- a ) IS A FACTOR OF F(x), OTHERWISE NOT.