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Partial Fractions Exit Ticket

Total questions: 11

Worksheet time: 16mins

Name
Class
Date
1.

If the degree of numerator N(x) is equal or greater than the degree of denominator D(x), then the fraction is:

a)

proper

b)

improper

c)

both proper and improper

d)

none of the above

2.

Is this algebraic fraction a proper or improper fraction?

a)

Proper

b)

Improper

3.

If the degree of numerator N(x) is less than the degree of denominator D(x), then the fraction is:

a)

proper

b)

improper

c)

both proper and improper

d)

none of the above

4.

What type of denominator does this algebraic fraction have?

a)

Linear distinct factors

b)

Repeated linear factors

c)

Irreducible quadratic factor (cannot be factorised)

5.

What type of denominator does this algebraic fraction have?

a)

Distinct linear factors

b)

Repeated linear factors

c)

Irreducible quadratic factors (cannot be factorised)

6.

7−x(x−1)(2x+1)2\frac{7-x}{\left(x-1\right)\left(2x+1\right)^2}  

What type of denominators do this algebraic fraction have?

a)

Linear factor

b)

Repeated linear factor

c)

Irreducible quadratic factor (cannot be factorised)

7.

What should be the partial fractions for this expression?

a)

b)

c)

d)

8.

What should be the partial fractions of this expression?

a)

b)

c)

d)

9.

Find the partial fraction decomposition...

a)
b)
c)
d)
10.

Find the partial fraction decomposition of the problem above.

a)
b)
c)
d)
11.

Using these phrases provided, write down you have learnt in today's lesson about Partial Fractions.

Partial fraction decomposition,

Linear distinct factors,

Repeated linear factors,

Irreducible quadratic factors

4 lines