Factoring Trinomials

Factoring Trinomials

Trinomial: THREE TERMS

• The coefficient of the second term is the sum of the numbers in each factor.

• The third term is the product of the numbers in each factor.

Factoring Trinomials

When we factor Trinomials, we are actually "undoing" FOIL.

In order to do that we look for the two numbers whose sum is the coefficient of the middle term, and whose product is the last the term.

Multiple Choice

• (x - 12)(x - 3)

• (x + 3)(x + 12)

• (x + 12)(x - 3)

• (x + 3)(x - 12)

Multiple Choice

• (x + 5)(x + 5)

• (x + 25)(x + 1)

• (x - 5)(x - 5)

• (x + 5)(x - 5)

Multiple Choice

• (x + 2)(x - 7)

• (x - 2)(x - 7)

• (x - 2)(x + 7)

• (x + 2)(x + 7)

Multiple Choice

Factor

x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

Multiple Choice

• (x + 6)(x + 2)

• (x + 3)(x + 4)

• (x - 4)(x - 3)

• (x - 2)(x - 6)

Multiple Choice

• (x + 9)(x - 3)

• (x + 3)(x - 9)

• (x - 3)(x - 9)

• (x + 3)(x + 9)

Multiple Choice

Factor

x² - 9 x - 36

• (x - 12)(x + 3)

• (x + 9)(x - 4)

• (x + 12)(x - 3)

• (x - 9)(x - 4)

Multiple Choice

• (x + 6)(x - 5)

• (x - 6)(x - 5)

• (x + 6)(x + 5)

• (x - 6)(x + 5)

Multiple Choice

Factor

a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Multiple Choice

• (x - 6)(x - 3)

• (x + 6)(x + 3)

• (x - 6)(x + 3)

• (x - 3)(x + 6)

Multiple Choice

• (x - 3)(x + 4)

• (x - 2)(x + 6)

• (x +3)(x - 4)

• (x - 6 )(x + 2)

Multiple Choice

• (x - 3)(x + 1)

• (x + 3)(x + 1)

• (x + 3)(x - 1)

• (x - 3)(x - 1)

Multiple Choice

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

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:
x² + 0x - 144

• (x + 12)²

• (x - 12)(x + 12)

• (x - 12)²

• 12²

Steps to factor trinomials in standard form

1. ​List the factor pairs of c

   ax²​+Bx+c

2. Determine which factor pair of c has a sum of b​

3. Use the m and p to write the factored form:

   (x+M)(x+p)​

4. FOIL TO CHECK YOUR ANSWER​

​Examples:​

x²​+7x+12

​​

​

x²​+4x-12

practice with a partner

Complete the first 2 rows of equations on your worksheet by yourself with your partner. Don't forget to FOIL to check your answer.

• 10 minutes​

​

Open Ended

Factor the trinomial: x²-9x-22

Open Ended

Factor the trinomial: x²-2x-15

Multiple Choice

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Multiple Choice

Of the following Quadratic...what are the a, b, & c values of the given function?

$$4x^2-8x=3$$  

• a = 4

  b = 8

  c = 3

• a = 4

  b = -8

  c = -3

• a = 4

  b = -8

  c = 3

• a = 4

  b = 8

  c = -3

Multiple Choice

Identify the 'a' value: y = 16x² -8x -24

• 16

• 8

• -8

• -24

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Multiple Choice

Factor completely.
2n² + 13n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable

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
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)