Factoring Binomials

Factoring Binomials and Trinomials

By Kimberlee Joy

Factoring Binomials

Look for GCF and/or DOTS​

Multiple Choice

Factor the binomial: x² - 36

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

Multiple Choice

Factor the binomial: x³ - 4x.

• (x-4)(x²-4)
• x(x-2)(x+2)
• x(x-4)
• (x-2)(x+2)

Multiple Choice

Factor the binomial: x² - 49

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

Multiple Choice

Factor the binomial:    6m² n + 16mn

• 2n(3m² + 8m)

• 2mn(3m + 8)

• 2mn(3m - 8m)

• not factorable

Multiple Choice

Factor the binomial: -9m³n² + 9m²n

• -9m²n(mn - 1)

• 9mn(mn + 1)

• 3m²n(-3mn + 3)

• 3mn(3mn + 3)

Multiple Choice

Factor the binomial: -21x+35

• -7(3x-5)

• 7(-21x²+35)
• -7(-3x²+5x)

• 7(3x-5)

Multiple Choice

Fully Factor the binomial: 2p² - 50

• 2(p² - 25)

• (2p - 5)(p + 10)

• (p + 10)(p - 5)

• 2(p + 5)(p - 5)

Factoring Trinomials

Is it BASIC or COMPLEX? Also make sure it has GCFs factored out!

Multiple Choice

Factor the trinomial: x² - 13x + 40

• (x-5)(x-8)
• (x+5)(x+8)
• (x-4)(x-10)
• (x-2)(x-20)

Multiple Choice

Factor the trinomial: x² + 9x - 36

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

Multiple Choice

The factored form of m² + 6m + 5 is

(m+2)(m+ 3)

• true

• false

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 the trinomial: v² + 3v - 88

• (v + 11)(v - 8)
• (v + 22)(v - 4)
• (v + 8)(v - 11)
• (v - 22)(v + 4)

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 the trinomial:

x² + 17x - 60

• (x - 20)(x + 3)

• (x + 12)(x + 5)

• (x + 12)(x - 5)

• (x + 20)(x - 3)

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