A-levelNumber and algebra
Polynomials and the factor theorem
Division, identities, remainders, factors, and polynomial equations.
1 lesson89 worksheets373 questions
Lessons
These free MathLab Learn guides are arranged in the order they are most useful for this stage.
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Polynomial expressions and forms
Step 1 · 9 worksheets · 61 questions
- Expand And Simplify In Descending Powers Of XPolynomials And Factor Theorem · 12 questionsPractise in MathLab →
- SimplifyPolynomials And Factor Theorem · 9 questionsPractise in MathLab →
- Simplify Set 2Expanding And Simplifying · 4 questionsPractise in MathLab →
- Simplify Set 2Rational Expressions · 4 questionsPractise in MathLab →
- Simplify In Ascending Powers Of XPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Simplify In Descending Powers Of XPolynomials And Factor Theorem · 12 questionsPractise in MathLab →
- Cubic Expressed As A Shifted CubeMixed Algebra · 1 questionPractise in MathLab →
- Find Coefficients Of A Cubic FunctionMixed Algebra · 1 questionPractise in MathLab →
- Descending Powers Of X Set 2Expanding And Simplifying · 12 questionsPractise in MathLab →
- IntroPractice
Polynomial division and remainders
Step 2 · 18 worksheets · 67 questions
- Find RemainderPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Find The QuotientPolynomials And Factor Theorem · 12 questionsPractise in MathLab →
- Find The Quotient Set 2Polynomials And Factor Theorem · 4 questionsPractise in MathLab →
- Find Constant And Divide PolynomialPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Find Constant And RemainderPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Find Constant From RemainderPolynomials And Factor Theorem · 2 questionsPractise in MathLab →
- Find Constants From RemaindersPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Find Quotient And RemainderPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Find Quotient And RemainderRational Expressions · 12 questionsPractise in MathLab →
- Find The RemainderPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Find The Quotient And RemainderPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Polynomial DivisionMixed Algebra · 2 questionsPractise in MathLab →
- Polynomial RemaindersMixed Algebra · 1 questionPractise in MathLab →
- Remainder TheoremPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Remainder TheoremMixed Algebra · 3 questionsPractise in MathLab →
- Remainder ConditionsMixed Algebra · 1 questionPractise in MathLab →
- Divide And Show IdentityRational Expressions · 1 questionPractise in MathLab →
- Remainder And Parity ProofPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Practice
Factorisation and the factor theorem
Step 3 · 20 worksheets · 115 questions
- Factor And SimplifyRational Expressions · 2 questionsPractise in MathLab →
- Factorise And SimplifyRational Expressions · 1 questionPractise in MathLab →
- Factorise FullyQuadratics · 12 questionsPractise in MathLab →
- Factorise Set 2Quadratics · 12 questionsPractise in MathLab →
- Factorise Set 3Quadratics · 12 questionsPractise in MathLab →
- Factorise Set 4Quadratics · 12 questionsPractise in MathLab →
- Factorise Set 5Quadratics · 12 questionsPractise in MathLab →
- Factorise Set 6Quadratics · 12 questionsPractise in MathLab →
- Factorise Set 7Quadratics · 8 questionsPractise in MathLab →
- Evaluate And FactorisePolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Factorise Using Factor TheoremPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Find Constant And FactorisePolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Fully FactorisePolynomials And Factor Theorem · 12 questionsPractise in MathLab →
- Cubic FactorisationMixed Algebra · 1 questionPractise in MathLab →
- Factor Theorem With Two FactorsPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Factor TheoremPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Factor Theorem And SimplificationMixed Algebra · 1 questionPractise in MathLab →
- Factor Theorem And SimplificationRational Expressions · 1 questionPractise in MathLab →
- Polynomial Factor TheoremMixed Algebra · 1 questionPractise in MathLab →
- Use The Factor TheoremPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Practice
Polynomial equations and roots
Step 4 · 21 worksheets · 49 questions
- Cubic RootsMixed Algebra · 1 questionPractise in MathLab →
- Factorisation And RootsMixed Algebra · 1 questionPractise in MathLab →
- Factorisation And Real RootsMixed Algebra · 1 questionPractise in MathLab →
- Remainders And Cubic RootsPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Factorisation And Quartic EquationQuadratics · 1 questionPractise in MathLab →
- Remainder And Equation SolvingMixed Algebra · 1 questionPractise in MathLab →
- Solve EquationsPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- Factor And Solve Cubic EquationPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Factor Theorem And Solve CubicPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Factorise And SolveQuadratics · 1 questionPractise in MathLab →
- Find Constants And SolvePolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Show Factor And SolvePolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Solve A Cubic EquationMixed Algebra · 1 questionPractise in MathLab →
- Solve Cubic EquationPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Solve Related Polynomial EquationsPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Solve Quadratic EquationsQuadratics · 2 questionsPractise in MathLab →
- Solve EquationPolynomials And Factor Theorem · 6 questionsPractise in MathLab →
- SolveQuadratics · 12 questionsPractise in MathLab →
- SolveRational Expressions · 6 questionsPractise in MathLab →
- Express Function And Solve EquationRational Expressions · 1 questionPractise in MathLab →
- Single Fraction And Hence SolveRational Expressions · 2 questionsPractise in MathLab →
- PracticeChallenge
Polynomial graphs and intersections
Step 5 · 10 worksheets · 18 questions
- Cubic And Linear GraphsMixed Algebra · 1 questionPractise in MathLab →
- Cubic Curve And Its InterceptsMixed Algebra · 1 questionPractise in MathLab →
- X Axis Crossings Of A Cubic CurvePolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Intersections Of A Line And Cubic CurveMixed Algebra · 1 questionPractise in MathLab →
- Evaluate And Sketch A Cubic FunctionMixed Algebra · 1 questionPractise in MathLab →
- Polynomial Identity And Graph SketchMixed Algebra · 1 questionPractise in MathLab →
- Sketch Transformed Cubic GraphsMixed Algebra · 4 questionsPractise in MathLab →
- Sketch Cubic GraphsMixed Algebra · 6 questionsPractise in MathLab →
- Factorise And Sketch A CubicMixed Algebra · 1 questionPractise in MathLab →
- Remainders And A Transformed PolynomialMixed Algebra · 1 questionPractise in MathLab →
- Challenge
Identities, proof and mixed synthesis
Step 6 · 11 worksheets · 63 questions
- Find ConstantsPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Find Relationship And ConstantsPolynomials And Factor Theorem · 1 questionPractise in MathLab →
- Find The ConstantsPolynomials And Factor Theorem · 8 questionsPractise in MathLab →
- Cubic With Unknown ConstantsMixed Algebra · 1 questionPractise in MathLab →
- Polynomial IdentityMixed Algebra · 1 questionPractise in MathLab →
- Show The IdentityPolynomials And Factor Theorem · 3 questionsPractise in MathLab →
- Single FractionRational Expressions · 12 questionsPractise in MathLab →
- Single Fraction Set 2Rational Expressions · 8 questionsPractise in MathLab →
- MixedPolynomials And Factor Theorem · 12 questionsPractise in MathLab →
- MixedQuadratics · 12 questionsPractise in MathLab →
- Mixed Set 2Polynomials And Factor Theorem · 4 questionsPractise in MathLab →
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