Answer :
Using synthetic division , the quotient is [tex]x^3-5x^2+7x-2[/tex]
Given :
find the quotient of [tex]\frac{\left(x^4\:-\:10x^3\:+\:32x^2\:-\:37x\:+\:10\:\right)}{\left(x-5\right)}[/tex]
Use synthetic division to find the quotient
In synthetic division , we write all the coefficient of all the terms in the divided inside the division .
then set the divisor =0
[tex]x-5=0\\x=5[/tex]
Divide all the coefficients by 5
Take down the first number as it is . Then multiply by 5 and write it below the second number. Add it . Continue the same step till we get remainder.
5 1 -10 32 -37 10
5 -25 35 -10
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1 -5 7 -2 0
The quotient is [tex]1x^3-5x^2+7x-2[/tex]
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