Algebra Partial fractions KUS objectives BAT put expressions

Algebra: Partial fractions KUS objectives BAT put expressions into partial fractions where the denominator has repeated factors or the original fraction is improper (top heavy) Starter: work out / write as mixed numbers Check answers with a calculator

Make the denominators the same Now equate the numerators

Make the denominators the same Now equate the numerators

Include a repeated factor term when usig partial fractions Now equate the numerators

Dealing with Improper Fractions The ‘degree’ of a polynomial is the highest power, e. g. a quadratic has degree 2. An algebraic fraction is improper if the degree of the numerator is at least the degree of the denominator.

Remember, Algebraically an ‘improper’ fraction is one where the degree (power) of the numerator is equal to or exceeds that of the denominator Divide the numerator by the denominator to find the ‘whole’ part

Remember, Algebraically an ‘improper’ fraction is one where the degree (power) of the numerator is equal to or exceeds that of the denominator Now equate the numerators

Write as whole part and partial fractoons Now equate the numerators

Write as whole part and partial fractoons Now equate the numerators

KUS objectives BAT put expressions into partial fractions where the denominator has repeated factors or the original fraction is improper (top heavy) self-assess One thing learned is – One thing to improve is –

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