Question

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Answer 1

Answer:

1. i. x² + x – 6 = 0

☞ x² + x – 6 = x² – 2x + 3x – 6 (split the middle term)

☞ x² – 2x + 3x – 6 = x(x – 2) 3(x – 2)

☞ x(x – 2) 3(x – 2) = (x+3)(x–2).

ii. 100x² – 20x + 1 = 0

☞ 100x² – 20x + 1 = 100x²–10x–10x+1 (split the middle term)

☞ 100x²–10x–10x+1 = 10x(10x–1) –1(10x–1)

☞ 10x(10x–1) –1(10x–1) = (10x–1)(10x–1)

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