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# Polynomials

# Factoring by Grouping Exercises

### Example 1

Factor 28*x*^{2} + 63*x* + 12*x* + 27 by grouping. Remember to look for common factors first.

### Example 2

Factor 4*y*^{3} + y + 12*y*^{2} + 3 by grouping. Remember to look for common factors first.

### Example 3

Factor 2*x*^{2} + 4*x* - 3*x* - 6 by grouping. Remember to look for common factors first.

### Example 4

Factor *x*^{3} - 2*x* - 4*x*^{2} + 8 by grouping. Remember to look for common factors first.

### Example 5

Factor 2*x*^{9} + 8*x*^{8} + 3*x*^{4} + 12*x*^{3} by grouping. Remember to look for common factors first.

### Example 6

Factor 3*x*^{2} + 19*x* + 20 by grouping.

### Example 7

Factor *x*^{4} + 15*x*^{2} + 56 by grouping.

### Example 8

Factor 2*x*^{2} - 31*x* + 99 by grouping.

### Example 9

Factor 6*x*^{2} + 11*x* - 35 by grouping.

### Example 10

Factor -2*x*^{2} - 3*x* + 5 by grouping.