Algebra theorems

Question 1

Fundamental theorem of algebra

Answer 1

every degree n has exactly n roots

Question 2

irrational root theorem

Answer 2

f a polynomial has rational coefficients and a+b root c, and a-b root c, then a-b root c is also a root

Question 3

complex conjugate root theorem

Answer 3

If a+bi is an imaginary root of a polynomial equation with real number coefficients, then a-bi is also a root.

Question 4

Rational root theorem

Answer 4

If a polynomial has integer coefficients, then every rational root of polynomial equations can be written in the form m/n, where m is a factor of the constant, and n is a factor of the leading coefficient.

Question 5

Binomial theorem

Answer 5

a formula that can be used to expand a two-term expression raised to any power. Using pascal’s triangle