FOIL Method and Distribution Notes (TSI 2 Review)

FOIL Method

Algebra 2

Drag and Drop

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

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Drag and Drop

(x + 7)(x - 2)

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Drag and Drop

(x - 1)(x - 8)

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Drag and Drop

Mult (2x + 3)(3x + 4)

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$$+8x$$ ​

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​ $$6x^2$$ ​

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$$12$$ ​

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Poll

Did you know?

$$(x-6)^2=\left(x-6\right)\left(x-6\right)$$

$$x^2-6x-6x+36$$

$$x^2-12x+36$$

• yes

• no

Multiple Choice

$$\left(d+3\right)^2$$

• $$d^2+6x+9$$

• $$d^2-6x+9$$

• $$d^2+6x-9$$

• $$d^2-6x-9$$

Draw

(x - 7)²

Multiple Choice

Solve the following using the FOIL method: $$\left(2x-3\right)\left(x+6\right)=$$  

• $$2x^2-15x-18$$  

• $$2x^2+15x-18$$  

• $$2x^2+9x-18$$  

• $$2x^2+9x-9$$  

Draw

Show all work below: (5n-8)(5n+8)

Draw

Show all work: (6y - 5)(9y + 4)

Draw

Show all work: (d+3)(d-8)

GCF and Factoring Polynomials

Multiple Choice

Factor the expression.
14r - 8 

• 2(7r - 3)

• 2(7r - 4)

• 7(2r - 4)

• 4(2r - 7)

Multiple Choice

35y+21

• 3(5y + 21)

• 3(5y+7)

• 7(5y+3)

Multiple Choice

Factor:

2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

Multiple Choice

Factor:

2n³ + 16n + 12

• 2n(n³ + 24n + 6)

• 2(n³ + 8n + 6)

• 2n(n³ + 8n + 6)

• 3(n³ + 8n + 6)

Multiple Choice

Factor:

10a⁴ + 16a + 10a²

• 2a(5a³ + 8 + 5a)

• 2a(5a³ + 8 + 5a³)

• 2a⁴(10 + 16a + 40a²)

• 3a³(5 + 8a + a²)

Multiple Choice

Find the Factors

36a⁵bc - 12c

• 12c (3a⁵b - 1)

• 6c (6a⁵b - 2)

• 12c (3a⁵b - c)

• 12abc(3a⁴ - 1)