The quotient of [tex]3x^{2} +24x+26[/tex] divided by (x+7) is 3x+3 and remainder is 5.
What is division?
Division means dividing a number, expression into two parts. It is a basic operation in mathematics. The number which is divided is called dividend, the number which is dividing is divisor, the answer we get after division is quotient and the left part is remainder.
How to divide expressions?
We have been given two expressions [tex]3x^{2} +24x+26[/tex] and (x+7). We have to find quotient and remainder of [tex]3x^{2} +24x+26[/tex] divided by (x+7).
We know that,
Dividend=Divisor*quotient +remainder
[tex]3x^{2} +24x+26[/tex]=(x+7)*(3x+3)+5
We have to compare both the equations. From observing both we can find that quotient is (x+) and remainder is 5.
Hence the quotient of [tex]3x^{2} +24x+26[/tex] divided by (x+7) is 3x+3 and remainder is 5.
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