1. Factor the greatest common factor from the polynomial. 18x2+ 27x

a.18x2+ 27x =

2. Factor the greatest common factor from the polynomial.15x5+20x4+10x3

1. 15x5+20x4+10x3

3. Factor the greatest common factor from the polynomial.70x2y9?60x5y8+100x3y5

a.70x2y9?60x5y8+100x3y5

4.Factor out the negative of the greatest common factor.?8x+24

a.?8x+24

5.Factor out the negative of the greatest common factor.?4x2+16x?20

a.?4x2+16x?20

6.Factor the greatest common binomial factor from each polynomial.4(x+3)+a(x+3)

a.4(x+3)+a(x+3)

7.Factor by grouping.x2+7x+5x+35

a.x2+7x+5x+35

8.Factor by grouping.x3?7x2+9x?63

1. x3?7x2+9x?63

9.Factor by grouping.6x2?30xy+5xy?25y2

1. 6x2?30xy+5xy?25y2

10. A ball is thrown straight upward. The function f(t) = ?16t2+ 80t describes the?ball's height above the?ground, f(t), in?feet, t seconds after it is thrown. Complete parts a through c.

1. Find f(3?).

PART 2

1.Fill in the blank below so that the resulting statement is true.x2?5x?36=?(x?9?)(x___)

1. x2?5x?36=?(x?9?)(x___)

2.Fill in each blank so that the resulting statement is true.2x3?12x2?110x=?__(x2?6x?55?)=?__(x+5?)(x__)

1. 2x3?12x2?110x =
2. __(x2?6x?55?)=
3. ?__ (x+5?)(x__) =

3.Factor the trinomial.6x2+17x?14=?(3x?2?)(____)

1. 6x2+17x?14=?(3x?2?)(____)

4.Factor the given polynomial.x2+13x+22

1. x2+13x+22 =
2. Is the polynomial prime.

5.Factor the trinomial. Check the factorization using FOIL multiplication.x2+16x+28

a.x2+16x+28 =

b. Is the trinomial prime.

6.Factor the trinomial. Check the factorization using FOIL multiplication.x2+9x+18

1. x2+9x+18 =
2. Is the trinomial prime.

7.Factor the trinomial. Check the factorization using FOIL multiplication.y2?12y+27

1. y2?12y+27 =
2. Is the trinomial prime.

8.Factor completely.5x3?45x2+70x

a.5x3?45x2+70x =

9.Factor by introducing an appropriate substitution.x6?x3?12

1. x6?x3?12 =

10.Factor by introducing an appropriate substitution.x4?25x2?54

1. x4?25x2?54 =

11. Use the method of your choice to factor the trinomial. Check the factorization using FOIL multiplication.3x2+5x+2

1. 3x2+5x+2 =

Factor the trinomial completely.4v2+21v+ 5

1. 4v2+21v+ 5 = b. Isthe polynomial prime.

PART 3

1.Factor the difference of two squares.x2?16

a.x2?16 =

2.Factor the difference of two squares.9x2?4

1. 9x2?4 =

3.Factor the difference of two squares.100x2?121y2

a.100x2?121y2

4.Factor the expression?completely, or state that the polynomial is prime.x3+7x2?16x?112

a.x3+7x2?16x?112 =

b.Is the polynomial prime.

5.Factor the perfect square?trinomial, or state that the polynomial is prime.x2+22x+121

1. x2+22x+121 =

1. Is the polynomial prime.

6.Factor any perfect square trinomials.x2?4x+4

a.x2?4x+4 =

b. Isthe polynomial prime.

7.Factor the perfect square.49x2+14x+1

1. 49x2+14x+1 =

1. Is the polynomial prime.

8.Factor the polynomial if it is a perfect square?trinomial, or state that the polynomial is prime.

x2+12xy+36y2

1. x2+12xy+36y2 Factor completely

1. Is the polynomial prime.

9.Factor the polynomial if it is a perfect square?trinomial, or state that the polynomial is prime.

36x2?60xy+25y2

1. 36x2?60xy+25y2

1. Is the polynomial prime.

10.Factor using the formula for the sum or difference of two cubes.x3?64

1. x3?64 =

11.Factor using the formula for the sum or difference of two cubes.8x3+125

1. 8x3+125 =

12.Factor the polynomial.125x3?1

1. 125x3?1 =

13.Factor using the formula for the sum or difference of two cubes.x3y3+729

1. x3y3+729 =

14.Find the formula for the area of the shaded region and express it in factored form

1. The area of the shaded region is

L =11

W =11

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