Quick questions on Cubic and quartic polynomials (VCE Maths Methods Unit 1)

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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State the roots of

y = (x - 3)(x + 1)^2

and which is a turning point on the axis. [2 marks]

What is q2?

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Find the

y

-intercept and end behaviour of

y = 2x^3 - x

. [2 marks]

What is q3?

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A quartic has factored form

y = a(x + 2)(x - 1)^3

and passes through

(0, 4)

. (a) Find

a

. (b) Describe the behaviour at each root.

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