Partial Fractions

Question 1

Expressing in partial fractions is splitting the fraction up.

Answer 1

7x - 7/ (2x+1)(x-3) = A/(2x+1) + B/(x-3)

Question 2

You can find a, B and C by using t

Answer 2

The substitution method or the equating coefficients method

Question 3

First step of both methods:

Answer 3

Write question as partial fractions.

Expand and cancel denominators.

Question 4

Substitution method

Answer 4

Substitute values of x which makes one of the expressions in brackets equal 0 to get rid of all but one of A, B and C

Question 5

Equating coefficients method

Answer 5

Equating coefficients in the numerator will give equations which you can solve simultaneously to find A, B and C

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Question 6

Watch out for difference of two squares.

Answer 6

Write it as two linear factors

Question 7

When is it best to use substitution and equate the coefficient

Answer 7

When there is no value of x you can substitute to get rid of A and C to leave just B for example.

Question 8

Repeated factor (don’t understand just do it)….

Answer 8

Fraction with denominator: x^2(x-3)

Partial fraction denominators: x^2, x, (x-3)