Question

use synthetic division to divide x^3+125 ÷x+5
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Answer 1

Step-by-step explanation:

${x}^{3} + {y}^{3} = (x + y)( {x}^{2} + xy + {y}^{2} ) \\ {x}^{ 3} + 125 = (x + 5)( {x}^{2} + 5x + 25) \\ {x}^{3} + 125 \div (x + 5) = (x + 5)( {x}^{2} + 5x + 25) \div (x + 5) = ( {x}^{2} + 5x + 25$