Chapter 8 Review

Chapter 8 Review

Factor by GCF

1. $50p^3+50p^2-20p$  

2.  $3n^3-4n^2+9n-12$  



3.  $12n^3+4n^2-3n-1$  

Multiple Choice

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

Multiple Choice

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

8-6 Factoring  $x^2+bx+c$  

1.  $x^2-8x+15$  



2.  $x^2-5x-6$  

Multiple Choice

Factor

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Multiple Choice

Factor

k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Solving $x^2+bx+c=0$  

 $1.\ x^2+5x-50=0$  



2.  $x^2+11x+10=0$  

Multiple Choice

Solve

a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Multiple Choice

Solve: x² + 24 = 11x

• -3 , -8

• 3 , 8

• 4 , 6

• 12 , -2

8-7 Factoring  $ax^2+bx+c$  

1.  $2x^2+13x-24$  



2.  $6x^2-7x-5=0$  


3.  $12x^2+22x-14$  

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Multiple Choice

Factor:
-12b² - 4b + 16

• (-2b + 2)(6b + 8)
• (-6b - 2)(2b - 8)
• (-6b + 8)(2b + 2)
• Unfactorable.

Multiple Choice

Factor completely.

2n² + 13n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable

Difference of two perfect squares

 $1.\ y^2-81$  


2.  $64-25x^2$  


3.  $-25\ +\ a^2=0$  

Multiple Choice

4x²y² - 1

• (2 + xy) (2 - xy)

• (2x + y) (2x - y)

• (2xy + 1) (2xy - 1)

• (2y + x) (2y - x)

Multiple Choice

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

Multiple Choice

We can't factor using difference of two square this

49x² + 4y². Why?

• Because 4 is not a perfect cubed number.

• Because 4 is not a perfect squared number.

• Because 49 is not a perfect squared number.

• Because we can't factor using difference of two squares if it is addition sign.

Multiple Select

Check all the expressions that are difference of two squares.

• $x^2-25$

• $x^2-100$

• $x^2+36$

• $x^2-73$

• $16x^2-400$