Factoring Trinomials

Factoring Trinomials

Trinomials with a = 1 and a > 1

Multiple Choice

Fill in the missing numbers. (order doesn't matter)

• 1,3 
• -1, -3
• 3, 12
• -1, 12

Multiple Choice

Fill in the missing numbers. (order doesn't matter)

• 3,4
• 2,6
• 12,8
• -6,-2

Multiple Choice

Fill in the missing numbers. (order doesn't matter)

• 4,9

• -4,-9

• 3,23

• 13,13

Multiple Choice

Factor

k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Multiple Choice

Factor

a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

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:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Multiple Choice

Factor the trinomial.

x² + 11x - 42

• (x - 7)(x + 6)

• (x - 9)(x - 2)

• (x + 14)(x - 3)

• (x - 21)(x + 21)

Remember to check for GCF!!!

Multiple Choice

Do GCF first then factor the polynomial:  $5c^2+30c-35$  

•  $5\left(c+7\right)\left(c-1\right)$  

•  $5\left(c-7\right)\left(c+1\right)$  

•  $5\left(c-5\right)\left(c+7\right)$  

•  $5\left(c-6\right)\left(b+5\right)$  

Multiple Choice

Do GCF first then factor the polynomial:  $4b^2-24b+20$  

•  $4\left(b-5\right)\left(b-1\right)$  

•  $4\left(b-4\right)\left(b+5\right)$  

•  $2\left(b-5\right)\left(b+4\right)$  

•  $4\left(b-6\right)\left(b+4\right)$  

Multiple Choice

Do GCF first then factor the polynomial:  $2a^2+10a+8$  

•  $\left(a+5\right)\left(a+2\right)$  

•  $2\left(a+4\right)\left(a+1\right)$  

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

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

TRINOMIALS WITH a > 1

We will use SLIP - DIVIDE - SLIDE method.

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

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:

2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

Multiple Choice

Factor
9x²-6x-8

• (3x+2)(3x-4)
• (3x+2)(3x+4)
• (3x-2)(3x-4)
• (x-1)(9x+8)

Multiple Choice

Factor completely.
5x² - 7x + 2

• 5(x - 2)(x + 1)
• (5x - 2)(x + 1)
• (7x - 1)(x - 4)
• (5x - 2)(x - 1)

Higher Degree Trinomials

What if the degree is higher than 2? Can I use the same strategy?

YES!!!

Multiple Choice

 $Factor\ x^4\ +7x^2\ +\ 6.$  

•  $\left(x^4+1\right)\left(x^4+6\right)$  

•  $\left(x^2+1\right)\left(x^2-6\right)$  

•  $\left(x+1\right)\left(x+6\right)$  

•  $\left(x^2+1\right)\left(x^2+6\right)$  

Multiple Choice

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)
• (k - 13)(k + 3)
• (k² + 15)(k² - 3)
• (k + 13)(k - 3)

Multiple Choice

Factor completely: 
x⁴-10x²+9

• (x-9)(x-1)
• (x²-9)(x²-1)
• (x-3)(x+3)(x²-1)
• (x+3)(x-3)(x+1)(x-1)

Multiple Choice

 $Factor\ x^6-7x^3-8$  

•  $\left(x-2\right)\left(x^2+2x+4\right)\left(x+1\right)\left(x^2-x-1\right)$  

•  $\left(x-2\right)\left(x^2+2x-4\right)\left(x+1\right)\left(x^2-x+1\right)$  

•  $\left(x-2\right)\left(x^2+2x+4\right)\left(x+1\right)\left(x^2-x+1\right)$  

•  $\left(x-2\right)\left(x^2-2x+4\right)\left(x+1\right)\left(x^2-x+1\right)$