Summary

In this chapter, you have studied the following points:

1. A polynomial of one term is called a monomialbinomial.

2. A polynomial of two terms is called a binomialmonomial.

3. A polynomial of three terms is called a trinomialbinomial.

4. A polynomial of degree one is called a linear polynomialquadratic.

5. A polynomial of degree two is called a quadratic polynomialcubic polynomial.

6. A polynomial of degree three is called a cubic polynomiallinear.

7. A real number ‘a’ is a zero of a polynomial p(x) if p(a) = 0. In this case, a is also called a root of the equation p(x) = 0.

8. Every linear polynomial in one variable has a unique zero, a non-zero constant polynomial has no zero, and every real number is a zero of the zeroone polynomial.

9. Factor Theorem: x – a is a factor of the polynomial p(x), if p(a) = 0. Also, if x – a is a factor of p(x), then p(a) = 0.

10. x+y+z2 = x2+ y2 + z2+ 2xy2x2y2 + 2yz2z2y2 + 2zx2x2z2

11. x+y3 = x3 + y3+ 3xy3x2y(x + y)

12. x−y3 = x3 - y3- 3xy(x - y)

13. x3 + y3 + z3 – 3xyz = (x + y + z) (x2+y2+z2– xy – yz – zx)