1- Factor the trinomial.

2b² + 7b + 6

2- Factor the trinomial.

4z² + 21z + 5

3- Factor the trinomial.

8x² 9x + 1

4- Factor the trinomial.

2x² 3x 2

5- Factor the trinomial.

9x² + 21x 18

6- Factor the trinomial.

6y³ + 2y² 4y

7- Factor the trinomial by grouping.

6m² + 43m + 7

8- Evaluate the expression for

x = 8. 5x 4 / x - 4

9- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

3x / 7x

10- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

20x²y / 5xy²

11- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

4x + 2 / 2y

12- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

9x + 36 / 3y

13- Simplify the expression. Assume that the denominator is not 0.

x² + 3x + 2 / x² + x 2

14- Simplify the expression. Assume that the denominator is not 0.

x² 9 / (2x + 3) (x + 6)

15- Simplify the expression. Assume that the denominator is not 0.

x 7 / 7 x

16- Simplify the expression. Assume that the denominator is not 0.

8x 40 / 5 x

17- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

8xy / 20x²y³

^{18- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)}

x + x / 2

19- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

x + 2 / 2x + 4

20- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

x² 8x + 15 / x² x 6

21- Simplify the expression. Assume that the denominator is not 0. (If simplification is not possible, enter the expression as given.)

x² 7x 8 / x² + 9x + 8

22- Add the rational expressions. Simplify the result, if possible.

x/6 + 2x/7

23- Add the rational expressions. Simplify the result, if possible.

4x/3 + x/6

24- Add the rational expressions. Simplify the result, if possible.

x + 3 /x² + x + 5/2x

25- Perform the operation. Simplify the result, if possible.

4x / x + 2 + x + 1/x 3

26- Perform the operation. Simplify the result, if possible.

m/m n - n/n m

27- Perform the operation. Simplify the result, if possible.

10/A-4 + 14/4-A