FM - Core Pure 1 - 4) Roots of polynomials

Question 1

Equations to find the coefficients b, c, d, and e in any polynomial

Answer 1

• Sum of the roots = -b/a
• Sum of the products of the pairs of the roots = c/a
• Sum of the products of the triplets of the roots = -d/a
• Sum of the products of the quadruplets of the roots = e/a

Question 2

How to find sum of reciprocals of roots in any polynomial

Answer 2

1/α + 1/ß + … = (one before the product of roots)/(product of roots)

Question 3

αⁿ × ßⁿ × …

Answer 3

(αß…)ⁿ