Question

Personal Polynomial

Please make "Chelsea" into a polynomial equation

Answer 1

Find alphabetical order of each letter in 'chelsea'

Following is the order

c = 3, h = 8, e = 5, l = 12, s = 19, e = 5, a = 1

There are total 7 letters in the word chelsea, therefore we get 7 terms and add them together.

Factors we use are (x - 1)(x - 2)(x - 3) (x - 4)(x - 5)(x - 6)(x - 7)

For First term, skip (x - 1) in numerator and in denominator plug in x = 1 in (x - 2)(x - 3) (x - 4)(x - 5)(x - 6)(x - 7) and write all values

Second term

skip (x - 2) in numerator and in denominator plug in x = 2 in (x - 1)(x - 3) (x - 4)(x - 5)(x - 6)(x - 7) and write all values

Third term

skip (x - 3) in numerator and in denominator plug in x = 3 in (x - 1)(x - 2) (x - 4)(x - 5)(x - 6)(x - 7) and write all values

Fourth term

skip (x - 4) in numerator and in denominator plug in x = 4 in (x - 1)(x - 2) (x - 3)(x - 5)(x - 6)(x - 7) and write all values

Fifth term

skip (x - 5) in numerator and in denominator plug in x = 5 in (x - 1)(x - 2) (x - 3)(x - 4)(x - 6)(x - 7) and write all values

Sixth term

skip (x - 6) in numerator and in denominator plug in x = 6 in (x - 1)(x - 2) (x - 3)(x - 4)(x - 5)(x - 7) and write all values

Seventh term

skip (x - 7) in numerator and in denominator plug in x = 7 in (x - 1)(x - 2) (x - 3)(x - 4)(x - 5)(x - 6) and write all values

Add these 7 terms together it will give the required polynomial