SQA Higher Mathematics Area 2 Relationships and Calculus overview quiz quiz

No real roots

Two distinct real roots

One repeated real root

Three real roots

$(x + 2)$

$(x - 2)$

$(2x - 1)$

$(x - 1)$

$a(x + p)(x + q)$

$ax^2 + q$

$a(x + p)^2 + q$

$(x + p)^2(x + q)$

$30^\circ$ only

$30^\circ$ and $210^\circ$

$60^\circ$ and $120^\circ$

$30^\circ$ and $150^\circ$

$5x^4$

$x^4$

$\tfrac{x^6}{6}$

$5x^6$

$\sin x$

$-\sin x$

$\cos x$

$-\cos x$

A maximum

A point of inflection

A minimum

It cannot be determined

$3x^2 + c$

$x^4 + c$

$\tfrac{x^2}{2} + c$

$\tfrac{x^4}{4} + c$

$2$

$4$

$8$

$16$

$\sin 2A = \sin A + \cos A$

$\sin 2A = 2\sin A\cos A$

$\cos 2A = 2\sin A\cos A$

$\sin 2A = \sin^2 A - \cos^2 A$

$\sqrt{a^2 + b^2}$

$a + b$

$ab$

$\sqrt{a^2 - b^2}$

To make sure that the final answer always comes out as a positive quantity in the end

To cancel out the upper and lower limits of the integral once they are applied

Because differentiating a constant gives zero, so the original constant is unknown

It is entirely optional and is in fact never genuinely needed at all