Factoring Trinomials when a=1

Factoring Trinomials when a=1

By Deb Scott

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

What is the GCF of the trinomial?

3x² - 9x -120

• 3

• 2

• 6

• 9

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

Factor completely.

5x²-15x+10

• (5x - 2)(x - 5)

• 5(x - 2)(x + 1)

• (5x + 2)(x + 5)

• 5(x - 2)(x - 1)