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##### Use synthetic division to complete the indicated factorization

label Calculus
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schedule 1 Day
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x^4-4x^3-5x^2+36x-36=(x-3) ()

Oct 18th, 2017

Tricky to do the formatting here, but here goes:

x^3
________________________

x-3 ) x^4 - 4x^3 - 5x^2 + 36x - 36
-x^4 +3x^3
-x^3 - 5x^2 + 36x - 36

Next term:

x^3   -x^2
________________________

x-3 ) x^4 - 4x^3 - 5x^2 + 36x - 36
-x^4 +3x^3
-x^3 - 5x^2 + 36x - 36
+x^3 - 3x^2
- 8x^2 + 36x - 36

Next term:

x^3   -x^2  - 8x
________________________

x-3 ) x^4 - 4x^3 - 5x^2 + 36x - 36
-x^4 +3x^3
-x^3 - 5x^2 + 36x - 36
+x^3 - 3x^2
- 8x^2 + 36x - 36
+8x^2 - 24x
12x - 36

Next term:

x^3   -x^2  - 8x + 12
________________________

x-3 ) x^4 - 4x^3 - 5x^2 + 36x - 36
-x^4 +3x^3
-x^3 - 5x^2 + 36x - 36
+x^3 - 3x^2
- 8x^2 + 36x - 36
+8x^2 - 24x
12x - 36
-12x + 36
0

So the factorization (x-3)(?) = (x-3)(x^3 - x^2 - 8x + 12)

Mar 21st, 2015

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Oct 18th, 2017
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Oct 18th, 2017
Oct 19th, 2017
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