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Sungkwangsong · Answer 1 · 2019-07-07T06:13:12+0000

Hi there!

${x}^(2) + 10x + 24 = (x + a)(x + b)$
To find the values of a and b we must find two integers with a sum of 10. The numbers multiplied must be 24. We can now conclude we're looking for the numbers 4 and 6.

${x}^(2) + 10x + 24 = (x + 4)(x +6 )$
b can therefore either be 4 or 6. The answers are 4 and 6.

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