## Problems on Quadratics adapted from questions set in previous Mathematics exams.

### 1.

GCSE Higher

In the diagram below, which is not drawn to scale, all dimensions are in centimetres and all angles are multiples of 90o. If the shaded area is 698cm2, work out the value of $$x$$.

### 2.

IB Standard

Let $$f(x)=jx^3+jx^2+kx+m$$ where $$j, k$$ and $$m$$ are constants.

(a) Find $$f'(x)$$

(b) If $$f'(x)\ge 0$$, show that $$j^2\le 3jk$$.

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