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Polynomials are algebraic expressions that include real numbers and variables. Division and square roots cannot be involved in the variables. The variables can only include addition, subtraction and multiplication.Let x be a variable, n be a positive integer and a

f(x) = a

Here, a

and a

1) p(x) = 3x -2 -----> polynomial in variable x.

2) q(y) = 3y

3) f(u)= 1/2 u

1) 2x

It is not a poly-nomial because the exponent of one term is 1/2 which is less than 1.

2) 1/(x

It is not a poly-nomial because the exponent is negative.

3) 2x

As the exponent of 2nd term is -1 so it is not a poly-nomial.

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Q.1 Write any poly-nomial in x with degree 3.

Q.2 P(x) = x

Q.3 In P(x) = 5x

Q.4 In P(x) = 1/2 x

• Degree of the Poly-nomial

• Zeros of Poly-nomial

• Remainder Theorem

• Find remainder by Synthetic Division

• Rational root test in Poly-nomial

• Solved Examples on Factorization

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