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Official 2020 Paper 1 · Q9

Paper 1Algebra

The quadratic expression x2−14x+9x^2-14x+9 factorises as (x−α)(x−β)(x-\alpha)(x-\beta), where α\alpha and β\beta are positive real numbers.

Which quadratic expression can be factorised as (x−α)(x−β)(x-\sqrt\alpha)(x-\sqrt\beta)?

Ax2−10x+3x^2-\sqrt{10}x+3
Bx2−14x+3x^2-\sqrt{14}x+3
Cx2−20x+3x^2-\sqrt{20}x+3
Dx2−178x+81x^2-178x+81
Ex2−176x+81x^2-176x+81
Fx2+196x+81x^2+196x+81

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