IB Maths AA SL AA 2.2 Quadratics questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1, no calculator Paper 2, calculator

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Question 1

Paper 1, no calculatorMedium7 marks

For real $k$ let $q_k(x)=x^2-4x+k$ where $x\in\mathbb R$

(a)

Solve $q_3(x)=0$

[2]

(b)

Hence solve $q_3(x)\leq 0$

[2]

(c)

Determine the values of $k$ for which $q_k(x)=0$ has: (i) two distinct real roots; (ii) two equal real roots; (iii) no real roots.

[3]

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