10-6 Factoring Quadratic Trinomials

10-6 Factoring Quadratic Trinomials

Monday, November 9 / 2020

Multiple Choice

Factor:

 $x^2-3x+2$  

•  $\left(x-2\right)\left(x-1\right)$  

•  $\left(x+2\right)\left(x+1\right)$  

•  $\left(x+3\right)\left(x-1\right)$  

•  $\left(x-3\right)\left(x+1\right)$  

Multiple Choice

Factor:
 $x^2-6x+8$  

•  $\left(x-4\right)\left(x-2\right)$  

•  $\left(x+4\right)\left(x+2\right)$  

•  $\left(x-6\right)\left(x+8\right)$  

•  $\left(x+6\right)\left(x-8\right)$  

Multiple Choice

Factor
 $x^2-10x+9$  

•  $\left(x-1\right)\left(x-9\right)$  

•  $\left(x+5\right)\left(x+4\right)$  

•  $\left(x-5\right)\left(x-4\right)$  

•  $\left(x+1\right)\left(x+9\right)$  

Open Ended

3) Factor: n² - 2n +1

Open Ended

Factor

 $x^2-10x+16$  

Multiple Choice

Factor:
 $x^2+x-56$  

•  $\left(x+8\right)\left(x-7\right)$  

•  $\left(x+14\right)\left(x-4\right)$  

•  $\left(x-8\right)\left(x+7\right)$  

•  $\left(x-14\right)\left(x+4\right)$  

Multiple Choice

6) Factor: y² + 2y - 24

• (y - 12)(y + 2)

• (y + 6)(y - 4)

• (y + 4)(y - 2)

• (y - 4)(y + 2)

Multiple Choice

Factor:
x² + 0x - 144

• (x + 12)²
• (x - 12)(x + 12)
• (x - 12)²
• 12²

Multiple Choice

Factor $x^2+9x-36$  

•  $(x+12)(x-3)$  

•  $(x+9)(x-4)$  

•  $(x-9)(x-4)$  

•  $(x-12)(x+3)$  

Multiple Choice

Factor the expression: 5g² + 15g + 10

• 5(g + 2)(g + 1)

• (5g + 10)(5g + 5)

• 5(g + 5)(g + 2)

• 5(g - 1)(g - 2)

Multiple Choice

Factor
x² - 5x - 36

• (x - 4)(x + 9)
• (x - 6)(x + 6)
• (x + 4)(x - 9)
• (x -12)(x + 3)

Multiple Choice

Factor

 $w^2-w-12$  

•  $(w-6)(w+2)$  
  

•  $(w-4)(w+3)$  
  

•  $(w-6)(w-6)$  
  

•  $(w+4)(w-3)$  
  

Multiple Choice

Factor $k^2-2k-24$  

•  $(k-4)(k+6)$  

•  $(k+4)(k+6)$  

•  $(k+6)(k-1)$  

•  $(k+4)(k-6)$  

Multiple Choice

To factor

 $x^2-10x-24$ , which of the following factors of $-24$  must be chosen in the process?

•  $-2,\ 12$  

•  $-6,\ -4$  

•  $2,\ -12$  

•  $-6,\ 4$  

Multiple Choice

Factor
3v² - 4v - 7

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

Open Ended

Factor

 $x^2\ -\ 2x\ +\ 5$  

Open Ended

Factor

 $x^2+x+1$  

Open Ended

Factor

3x² - 9x -120

Multiple Choice

Factor:
 4h² - 17h + 4

• (2h - 2)²
• 4(h + 4)(h + 1)
• (2h - 2)(2h + 2)
• (h - 4)(4h - 1)

Multiple Choice

Factor completely: $3a^2+4a+1$  

•  $(3a−1)(a−1)$  

•  $(3a+1)(a+1)$  

•  $(3a−1)(a+1)$  

• Prime

Multiple Choice

Factor the expression: -2h² + 4h + 70

• -2(h + 7)(h + 5)

• -2(h - 7)(h - 5)

• -2(h + 7)(h - 5)

• -2(h - 7)(h + 5)

Multiple Choice

Factor the expression: 21z² - 70z + 49

• 7(3z - 7)(z - 1)

• 7(3z + 7)(z + 1)

• 7(3z - 7)(z + 1)

• 7(3z + 7)(z - 1)

Fill in the Blanks

Factor completely . 5x²-60x+205