IB Maths AA HL Ahl 2 12 Hl Polynomial Functions Questions

Practise using factor and remainder theorems, root relationships, polynomial graphs and reciprocal structures to determine coefficients, zeros and permitted roots.

Exam points

Analyse polynomial functions using degree, roots, factors, end behaviour and graph features.
Solve polynomial equations or determine coefficients from complete mark-scheme evidence.

[Maximum number: 1]

Consider a three-digit code a b c, where each of a, b and c is assigned one of the values 1,2,3,4 or 5 .

Express P(x) as a product of linear factors.

$x^{3}+4 x^{2}+5 x+2=\left(x^{2}+3 x+2\right)(x+1)$

=(x+2)(x+1)(x+1)

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IB Maths AA HL Ahl 2 12 Hl Polynomial Functions Questions question 1