Anjelica is using synthetic division to divide 2x3−9x2−21x+10 by x+2 .
Which answer is correct?
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Anjelica is using synthetic division to divide
[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]
Steps given in option B are correct
Given :
Divide the given expression
[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]
Apply synthetic division
In synthetic division , we write all the coefficient inside the division
then solve the denominator for x and write it outside
[tex]x+2=0\\x=-2[/tex]
so we write -2 outside the division sign
Take down first number 2 as it is . Then multiply with -2 and put it below the second number . Add it and write it down . Continue the process.
-2 2 -9 -21 10
0 -4 26 -10
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2 -13 5 0
the steps given in option B are correct
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