Friday 10th June (Double Lesson) Adding / Subtracting Algebraic Fractions and turning Improper Algebraic Fractions into Mixed algebraic Fractions

LESSON OBJECTIVE: Discover methods to add & Subtract Algebraic Fractions and convert improper algebraic fractions into mixed algebraic fractions into

SUCCESS CRITERIA: You will be able to add/subtract algebraic fractions and use the factor theorem to convert improper algebraic fractions into mixed algebraic fractions

LESSON: Adding and Subtracting Algebraic Fractions lesson, using exercise screens to practise skills. Then have some time to start working thorugh Ex 1C on page 7

Numbers – Improper fractions to Mixed Numbers

Algebraic Fractions are improper when the numerator has a larger degree than the numerator (ie there is a bigger power on the top than the bottom)

Two Methods – Long Division and Use of the remainder theorem

The Remainder Theorem states that for any polynomial F(x) you can find Q(x) such that

F(x) = Q(x) x divisor + remainder

Example 1

Divide x³ + x² – 7 by x – 3 first by long division and then by Factor theorem

Example 2 Turn the following improper algebraic fraction into a mixed algebraic fraction again using both methods:

(X⁴ + x³ + x – 10) / (x² + 2x – 3)

Have a go at Ex 1D you must practice both methods