document.write( "Question 924158: If the divisor is
\n" ); document.write( "x+4,
\n" ); document.write( "the quotient is
\n" ); document.write( "2x+3,
\n" ); document.write( "and the remainder is
\n" ); document.write( "5,
\n" ); document.write( "find the dividend (or the polynomial being divided). \n" ); document.write( "

Algebra.Com's Answer #560666 by MathLover1(20850) $\"\"$ $\"About$

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$\"Dividends\"$ } and $\"divisors\"$ are the two key ingredients that yield the $\"quotient\"$ , or answer, to a division problem. \r
\n" ); document.write( "\n" ); document.write( "The $\"dividend\"$ is the number $\"being\"$ $\"divided\"$ , while the $\"divisor\"$ is the number $\"by\"$ $\"+which\"$ the dividend is divided. \r
\n" ); document.write( "\n" ); document.write( "In other words, given $\"a%3Ab\"$ or $\"a%2Fb\"$ , $\"a\"$ is the $\"dividend\"$ and $\"b\"$ is the $\"divisor\"$ , and $\"q\"$ $\"quotient\"$ \r
\n" ); document.write( "\n" ); document.write( "so, you are given:\r
\n" ); document.write( "\n" ); document.write( "the divisor is
\n" ); document.write( " $\"b=x%2B4\"$
\n" ); document.write( "the quotient is
\n" ); document.write( " $\"q=2x%2B3\"$
\n" ); document.write( "and the remainder is $\"5\"$ , \r
\n" ); document.write( "\n" ); document.write( " $\"a%2Fb=q\"$ => $\"a=q%2Ab\"$ since you have remainder $\"5\"$ you need to add it to the $\"q%2Ab\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a=q%2Ab%2B5\"$ ...substitute $\"q\"$ and $\"b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a=%282x%2B3%29%2A%28x%2B4%29%2B5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a=%282x%5E2%2B8x%2B3x%2B12%29%2B5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a=2x%5E2%2B11x%2B17\"$ .......the polynomial being divided\r
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