A Level Further Maths Core Pure Year 1 Chapter 1: Mini test

i ⁴ⁿ⁺³

• i
• 1
• -1
• -i

(a+(c+d)i)(a-(c+d)i)

• a²-c²+d²
• a²-c²-d²
• a²-c²+2cd+d²
• a²-c²-2cd-d²

x³+2x+1, x∈ℂ

• Has at least three roots
• Has 2 roots
• Has three roots
• Has at least three roots

Work backwards ... x = 3 ± √10 i

• x - 10³ = 0

• (x - 3)² + 10 = 0

• (x - 3)² + 100 = 0

• (x - 3)² + 10 i =0