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Answer 1

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Step-by-step explanations

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Answer 2

Step-by-step explanation:

$({x}^{2} - 10x + 21) \div (x - 7) \\ = {x}^{2} - (7 + 3)x + 21 \div (x - 7) \\ = {x}^{2} - 7x - 3x + 21 \div (x - 7) \\ = x(x - 7) - 3(x - 7) \div (x - 7) \\ = (x - 7)(x - 3) \div (x - 7) \\ = (x - 3)$