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A polynomial of degree 0 is called a

On the basis of Degree of the Polynomial,there are different types of polynomial. They are as follows :

Degree |
Name of the Polynomial |
Form of the Polynomial |
Example |

0 | Constant Polynomial | f(x) = a, a is a constant. | f(x) = 2 |

1 | Linear Polynomial | f(x) = ax + b , a ≠ 0 | f(x) = 3x + 4 |

2 | Quadratic Polynomial | f(x) = ax^{2} + bx + c , a ≠ 0 |
f(x) = 2x^{2} + 4x - 4 |

3 | Cubic Polynomial | f(x) = ax^{3} + bx^{2} + cx + d , a ≠ 0 |
f(x) = 3x^{3} - x^{2} + 4x + 5 |

4 | Quartic Polynomial | f(x) = ax^{4} + bx^{3} + cx^{2} + dx + e , a ≠ 0 |
f(x) = - 4x^{4} + 3x^{3} - x^{2} + 8x + 6 |

1) f(x) = 3x + 1/2

The degree of this polynomial is 1 as the highest exponent is 1.

2) p(x) = 2y

The highest exponent is 2, so its degree is 2.

3) q(x) = 5x

The degree of this polynomial is 3 as it is the highest exponent.

4) q(u) = 9u

The degree of this polynomial is 5.

5) p(x) = -3/2

The degree of this polynomial is 0, so it is a

6) q(x) = 1

The degree of this polynomial is 0, so it is a

1) p(x) = x

The degree of this polynomial is 1 so its a Linear polynomial.

2) q(y) = y

Degree = 3

∴ Polynomial = Cubic polynomial.

3) f(x) = 4x

Degree = 4

∴ Polynomial = Quartic.

4) q(a) = a

Degree = 5

∴ Polynomial = Polynomial ( no special name as such).

• Degree of the Polynomial

• Zeros of Polynomial

• Remainder Theorem

• Find remainder by Synthetic Division

• Rational root test in Polynomial

• Solved Examples on Polynomial

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