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Use polynomial long division to divide?
25x^3 + 40x^2 + 25x + 10 by -5x^2 – 3x – 2
show all work please.
1 Answer
- TychaBraheLv 79 years agoFavorite Answer
Set it up like a regular division problem.
. . . . . . . . . . _______________________
-5x^2 - 3x - 2 | 25x^3 + 40x^2 + 25x + 10
To make -5x^2 into 25x^3, I multiply by -5x, so
. . . . . . . . . . . . . . . . . . . . . . . -5x
. . . . . . . . . . _______________________
-5x^2 - 3x - 2 | 25x^3 + 40x^2 + 25x + 10
. . . . . . . . . . . 25x^3 + 15x^2 + 10x
. . . . . . . . . . ___________________
. . . . . . . . . . . . . . . . . 25x^2 + 15x + 10
To get -5x^2 to 25x^2, multiply by -5
. . . . . . . . . . . . . . . . . . . . . . . -5x - 5
. . . . . . . . . . _______________________
-5x^2 - 3x - 2 | 25x^3 + 40x^2 + 25x + 10
. . . . . . . . . . . 25x^3 + 15x^2 + 10x
. . . . . . . . . . ___________________
. . . . . . . . . . . . . . . . . 25x^2 + 15x + 10
. . . . . . . . . . . . . . . . . 25x^2 + 15x + 10
. . . . . . . . . . . . . . . . . _________________
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .0
So the dividend is -5x - 5, with no remainder.
