Polynomial Mathematics Formula With Example

mathematics formula Maths Formulas Uncategorized

Polynomial Mathematics Formula

Polynomial Formula: Meaning, Types, Polynomial Identities

Polynomial Mathematics Formula With Example is the one which has more than two algebraic terms. So, Polynomial is a repetitive addition of a monomial or a binomial.

The general Polynomial Formula can be written as-

axn+bxn1+..+rx+s

If the n is a natural number, an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)

If then is even (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)

If n is the odd (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)

s(a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….)

EX-

Polynomial Function

Polynomial Identities

  1. (x + y)2= x2 + 2xy + y2
  2. (x – y)2= x2 – 2xy + y2
  3. x2– y2 = (x + y)(x – y)
  4. (x + a)(x + b) = x2+ (a + b)x + ab
  5. (x + y + z)2= x2 + y2 + c2 + 2xy + 2yz + 2zx
  6. (x + y)3= x3 + y3 + 3xy (x + y)
  7. (x – y)3= x3 – y3 – 3xy (x – y)
  8. x3+ y3 = (x + y)(x2 – xy + y2)
  9. x3– y3 = (x – y)(x2 + xy + y2)
  10. x3+ y3 + z– 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz – zx)
  11. ax2 + bx + c = 0 then x = \frac{( -b \pm \sqrt{(b2 – 4ac)} )}{2a}

Types of Polynomial Equation

Polynomial equation is of four types :

  1. Monomial: This type of polynomial contains only one term. For example, x2 , x, y, 3y, 4z
  2. Binomial: This type of polynomial contains two terms. For example, x2 – 10x
  3. Trinomial: This type of polynomial contains three terms. For example, x2 – 10x+9
  4. Quadratic Polynomial: This type of polynomial contains four terms. For example, x3+2x2 – 10x+7

Leave a Reply

Your email address will not be published. Required fields are marked *