What is the quotient of ##b^3 + 4b^2 – 3b + 126## by b+7?
February 20th, 2023
##b^2-3b+18##
Use long division, as used for integers, to find the quotient.
The divisor is ##b+7##.
Look at the first term of the dividend, i.e. ##b^3##.
What should be multiplied to ##b## (of the divisor) to get the first term of the dividend, i.e. ##b^3##?
##bxx b^2=b^3##
Therefore, ##b^2## becomes the first term of the quotient.
Now, ##b^2 xx (b+7)=b^3 + 7b^2##
Write it below the corresponding terms of the dividend and subtract.
We are now left with ##-3b^2-3b+126##.
Repeat.