SPM 2019 Add Maths Paper 1, Question 2Quadratic Functions

Solved on video in English and Bahasa Melayu · 3 marks · Form 4, Quadratic Functions · 5:18 video

The question

Diagram 1 shows the graph of a quadratic function f(x) = p/x^n + qx + r such that p, q, r, n and u are constants. (a) State the value of n. (b) If f(x) = 0 and the product of roots is r, state the value of (i) q, (ii) p.

[3 marks]

SPM 2019 Add Maths Paper 1, Question 2: the question as drawn in Eduly's video5:18

Step 1

Rewrite f(x) = p/x^n + qx + r as f(x) = p x^(-n) + qx + r.

5 more steps, each with the reason for it, in the full solution

Final answer

n = −2, q = 0, p = 1

Where students lose marks

Watch out: p/x^n = p x^(−n), so n = −2, not 2. Also use the symmetric roots −u and u to find q.

Watch every step of this question solved on video (5:18), with the reason behind each step and a box that checks your own answer.

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