Factor Remainder Theorem Sketch the following curves stating

Factor & Remainder Theorem

Sketch the following curves, stating the intercepts with the coordinate axis: -4 -3 5 7 -21 -20 20 -4 1 5 -4 -3 -2

Sketch the curves, stating the intercepts with the coordinate axis:

Starter: Sketch the curves, stating the intercepts with the coordinate axis:

Factorising Cubics One factor of Find the other two factors.

Factorising Cubics Three methods • Inspection • Long Division • Grid Method

Fully Factorise the Following: The first factor for the first five is found, find the further factors to fully factorise:

Today’s Lesson: • Learn and use the factor theorem to find factors of polynomials • Learn and use the remainder theorem to find remainders when dividing polynomials

True or False

True or False A possible equation for this graph is: y=(3 x-4)(3 x+4) True

True or False The graph of y=(x+2)(x-7) intercepts the x axis at -14 False

True or False • True

True or False •

True or False • False

True or False •

Factor Theorem •

Factor Theorem •

Questions

Remainder theorem This is a similar idea to the factor theorem, but when we sub a root into an equation we DO NOT get zero, we get a remainder. •

Core 2 Textbook, Chapter 1, Ex 1 E J b, e, h, i, j a, b, c, d, e

Fractions & Algebra Simplifying Surds – Rationalising Denominator Algebraic Fractions Solving Fractional Equations Algebraic Division Factor & Remainder Theorem Exam Questions

Factor & Remainder Theorem Exam Questions

• Complete Tarsia puzzle on factor and remainder theorem in table groups • If you finish - try Qs 2 -4 on Extension Card

Exam Questions • On your tables there are pink and green exam question cards • If you feel like you need more practise try the green questions • If you want a challenge try the pink questions