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Practice Using the Vertical Method

Now you try.

Time to practice with the vertical method. Do these problems in your notebook and then check your work by clicking the Reveal Answer buttons. Click on the tabs to try the next problem:

Problem 1

Problem 2

Problem 3

(x – 4)(5x\(\small\mathsf{ ^2 }\) – 3x – 2)

5x\(\small\mathsf{ ^2 }\) – 3x – 2
x – 4
– 20x\(\small\mathsf{ ^2 }\) + 12x + 8
5x\(\small\mathsf{ ^3 }\) – 3x\(\small\mathsf{ ^2 }\) – 2x
5x\(\small\mathsf{ ^3 }\) – 23x\(\small\mathsf{ ^2 }\) + 10x + 8

(3x – 3)(x\(\small\mathsf{ ^2 }\) + 5x – 2)

x\(\small\mathsf{ ^2 }\) + 5x – 2
3x – 3
–3x\(\small\mathsf{ ^2 }\) – 15x + 6
3x\(\small\mathsf{ ^3 }\) + 15x\(\small\mathsf{ ^2 }\) – 6x
3x\(\small\mathsf{ ^3 }\) + 12x\(\small\mathsf{ ^2 }\) – 21x + 6

(x\(\small\mathsf{ ^2 }\) + 4x + 2)(3x\(\small\mathsf{ ^2 }\) + 5x – 1)

3x\(\small\mathsf{ ^2 }\) + 5x – 1
x\(\small\mathsf{ ^2 }\) + 4x + 2
6x\(\small\mathsf{ ^2 }\) + 10x – 2
12x\(\small\mathsf{ ^3 }\) + 20x\(\small\mathsf{ ^2 }\) – 4x
3x\(\small\mathsf{ ^4 }\) + 5x\(\small\mathsf{ ^3 }\) – x\(\small\mathsf{ ^2 }\)
3x\(\small\mathsf{ ^4 }\) + 17x\(\small\mathsf{ ^3 }\) + 25x\(\small\mathsf{ ^2 }\) + 6x – 2