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Factoring by Grouping Exercises

Example 1

Factor 28x2 + 63x + 12x + 27 by grouping. Remember to look for common factors first.

Example 2

Factor 4y3 + y + 12y2 + 3 by grouping. Remember to look for common factors first.

Example 3

Factor 2x2 + 4x – 3x – 6 by grouping. Remember to look for common factors first.

Example 4

Factor x3 – 2x – 4x2 + 8 by grouping. Remember to look for common factors first.

Example 5

Factor 2x9 + 8x8 + 3x4 + 12x3 by grouping. Remember to look for common factors first.

Example 6

Factor 3x2 + 19x + 20 by grouping.

Example 7

Factor x4 + 15x2 + 56 by grouping.

Example 8

Factor 2x2 – 31x + 99 by grouping.

Example 9

Factor 6x2 + 11x – 35 by grouping.

Example 10

Factor -2x2 – 3x + 5 by grouping.