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Clavis TMUA Set C Paper 1 · Q15

Paper 1Algebra

The quadratic expression x2−10x+16x^2-10x+16 factorises as (x−α)(x−β)(x-\alpha)(x-\beta), where α\alpha and β\beta are positive real numbers.

Which one of the following has roots α\sqrt\alpha and β\sqrt\beta?

Ax2−32 x+4x^2-3\sqrt2\,x+4
Bx2−10 x+4x^2-\sqrt{10}\,x+4
Cx2−32 x+16x^2-3\sqrt2\,x+16
Dx2−18x+4x^2-18x+4
Ex2−18 x+16x^2-\sqrt{18}\,x+16
Fx2−4x+32x^2-4x+3\sqrt2

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