Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

(a(i))[2]

Factorise the quadratic $24 + 5x - x^2$.

(a(ii))[3]

Find the values of $a$, $b$ and $c$.

(a(iii))[3]

Calculate the gradient for $y = 24 + 5x - x^2$ when $x = -1.5$.

(b(i))[4]

On the diagram, sketch $y = (x+1)(x-3)^2$. Mark the points where the graph intersects the x-axis and the y-axis.

(b(ii))[3]

Write $(x+1)(x-3)^2$ as $ax^3 + bx^2 + cx + d$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: $(x+3)(8-x)$

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