1,008 prompts matching "Structured question: find fg(x) and gf(x)"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain the quadratic formula back to me
Act as my SS2 Further Maths tutor. Let me explain the quadratic formula and how to apply i
Spot my mistake using the quadratic formula
Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think
Build a quadratic equation from given roots
Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a
Worked example: reading the solutions as points of intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
WAEC-style simultaneous equation problem
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
Explain line-curve intersection conditions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Worked example: adding two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials
Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Explain polynomial addition back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po
Worked example: dividing a cubic by a linear polynomial
Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Spot my mistake in polynomial long division
Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long
Explain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
Divide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de