Algebra

Question 1

Formula for change of base from log(a)x

Answer 1

log(a)x = log(b)x / log(b)a

Question 2

Partial Fractions P(x)/Q(x):

Q(x) = ax+b

Answer 2

A / ax+b

Question 3

Partial Fractions P(x)/Q(x):

Q(x) = (ax+b)^2

Answer 3

A / ax+b + B / (ax+b)^2

Question 4

Partial Fractions P(x)/Q(x):

Q(x) = ax^2 + bx + c

Answer 4

Ax+B / ax^2+bx+c

Question 5

Partial Fractions: improper fractions

Answer 5

improper fractions require an extra term which is a polynomial of degree n-d where n is the degree of the numerator and d is the degree of the denominator.