Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Explain polynomial long division back to me"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Compare expanding a determinant along different rows
I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e
Subscribe to unlock allExplain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Subscribe to unlock allExplain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Subscribe to unlock allDefine particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Subscribe to unlock allExplain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
Subscribe to unlock allExplain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Subscribe to unlock allExplain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
Subscribe to unlock allExplain friction and the coefficient of friction
I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t
Subscribe to unlock allExplain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allExplain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Subscribe to unlock allWAEC Further Mathematics command words explained
I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd
Subscribe to unlock allWorked example: finding the matrix of cofactors and the adjugate
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma
Subscribe to unlock allWorked example: finding the argument in the correct quadrant
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Subscribe to unlock allTeach me resolving forces on an inclined plane
I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,
Subscribe to unlock allTeach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
Subscribe to unlock allWorked Example: The discriminant, and what each of its three cases means
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di
Subscribe to unlock allLearn: The degree of a polynomial and its leading coefficient
You are my personal SS3 Further Mathematics tutor. Teach me the degree of a polynomial and
Subscribe to unlock allFinal Revision: The zeros of a polynomial and where its graph cuts the x-axis
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allWorked Example: The sum of the products of the roots of a cubic taken two at a time
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the su
Subscribe to unlock allWorked Example: The number of arrangements of n different objects in a row
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the nu
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