Poly means “many” and nomial means “terms”. All together polynomials are a combination of many terms. They are combined by using

**Polynomials or NOT?**

3xy² + 5x – 6y³ +9 It is a polynomial
**Degree: **The degree of a polynomial is the highest degree of its terms.

**Example:** Degree of the polynomial x

^{2} y

^{3}+2x

^{2}+7x+8 is 5

Degree |
Polynomial Name |

0 |
Constant |

1 |
Linear |

2 |
Quadratic |

3 |
Cubic |

4 |
Quartic |

5 |
Quintic |

Number of terms in a polynomial is 1

Monomial (Example: 4ap

^{3})

Number of terms in a polynomial is 2

Binomial (Example: 3y

^{2}-8)

Number of terms in a polynomial is 3

Trinomial (Example: 3p+5ax

^{2}+4)

**Example:** Select a polynomial from the following

(a)2/(x+2) (b) 1/x (c) -3p² +8/12 x (d) 4ap^{(-3)}

**Answer:** c

**Example 1:** Evaluate 3x

^{3} +x

^{2} -2x -4 at x= -2

**Answer:** Replace x with -2

3(-2)^{2}+ (-2)^{2} -2(-2) -4

= 3(-8) + 4 + 4 -4

= -24 + 4

= -20

**Example 2:** Simplify 2x

^{2} -5x +6 - x

^{2} +7x -12

**Answer:** Combining like terms

(2x^{2} - x^{2}) + (-5x + 7x) + (6-12)

x^{2} + 2x - 6