Factors of Polynomials: worked exam questions
5 solved factors of polynomials questions, each worked line by line the way the 0606 mark scheme rewards. Learn the method in the Factors of Polynomials topic notes, then see it applied here.
A Cubic with Two Unknown Coefficients
Find two unknown coefficients of a cubic given two factors, a 0606 factor-theorem question that sets up and solves simultaneous equations.
Factorising a Cubic with the Factor Theorem
Use a given factor to factorise x³ − 3x² − 4x + 12 completely, a 0606 question combining the factor theorem with division and a final quadratic factorisation.
Polynomial Long Division
Divide a cubic by a linear factor using long division to find the quadratic quotient, then factorise completely, a core 0606 polynomials method.
Remainder Theorem: Finding an Unknown Constant
Use the remainder theorem to find an unknown coefficient given the remainder on division, a 0606 question that turns a division fact into a simple equation.
Solving a Cubic Equation
Solve x³ + 2x² − 5x − 6 = 0 by finding one root with the factor theorem, then factorising, a 0606 question linking division to the roots of a cubic.
Worked examples show the routine. A tutor builds it into your child.
Weekly 1-to-1 classes with a founder-vetted 0606 specialist, your child's own working marked line by line against real mark schemes. A 1-hour trial class first, always.