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3.5 (AS 91577) – 2025 Answers

Quite often, there are different ways to solve a Mathematics problem.

These solutions/strategies show one possible way to solve them.

Question 1 (a)

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Polynomial Function

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Simplify

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Remainder

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Remainder

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Remainder

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Question 1(b)

Rearrange the quadratic equation to get it equal to 0.

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Question 1(c)

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Expand brackets

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Rearrange the quadratic equation to get it equal to zero

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Discriminant

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Simplify

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Question 1(d)

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Question 1(d)

Real

Imaginary

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Question 1(d)

Converting to Polar Form

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Question 1(d)

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Simplify

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Question 1(e)

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So, we can use Pythagoras to determine this distance

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Question 1(e)

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Square both sides

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Expand Right-hand side

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Question 1(e)

Expand Right-hand side

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Expand Right-hand side

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Question 1(e)

Expand Right-hand side

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Expand the quadratics

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Square both sides

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Expand all brackets and simplify

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