FOIL Method

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Question 1 of 5

Expand and simplify.

(p + 6) (p - 4)

$(p+6)(p-4)$

1. $p^{2} + 4 p + 6$ $p^2+4p+6$
2. $p^{2} + 6 p - 24$ $p^2+6p-24$
3. $p^{2} - 4 p - 6$ $p^2-4p-6$
4. $p^{2} + 2 p - 24$ $p^2+2p-24$

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Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

	$\color{#00880A}{(p)(p)}+\color{#9a00c7}{(p)(-4)}+\color{#007DDC}{(6)(p)}+\color{#e65021}{(6)(-4)}$
$=$ $=$	$p^{2} + (- 4 p) + 6 p - 24$ $p^2+(-4p)+6p-24$
$=$ $=$	$p^{2} + (- 4 p + 6 p) - 24$ $p^2+(-4p+6p)-24$	Collect like terms
$=$ $=$	$p^{2} + 2 p - 24$ $p^2+2p-24$

p^{2} + 2 p - 24

$p^2+2p-24$

Question 2 of 5

Expand and simplify.

(u - 7) (u + 2)

$(u-7)(u+2)$

1. $u^{2} + 3 u - 12$ $u^2+3u-12$
2. $u^{2} - 7 u + 5$ $u^2-7u+5$
3. $u^{2} - 5 u - 14$ $u^2-5u-14$
4. $u^{2} - 7 u - 14$ $u^2-7u-14$

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FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

	$\color{#00880A}{(u)(u)}+\color{#9a00c7}{(u)(2)}+\color{#007DDC}{(-7)(u)}+\color{#e65021}{(-7)(2)}$
$=$ $=$	$u^{2} + 2 u + (- 7 u) - 14$ $u^2+2u+(-7u)-14$
$=$ $=$	$u^{2} + (2 u - 7 u) - 14$ $u^2+(2u-7u)-14$	Collect like terms
$=$ $=$	$u^{2} - 5 u - 14$ $u^2-5u-14$

u^{2} - 5 u - 14

$u^2-5u-14$

Question 3 of 5

Expand and simplify.

(n - 5) (n - 6)

$(n-5)(n-6)$

1. $n^{2} - 11 n + 30$ $n^2-11n+30$
2. $n^{2} - n + 11$ $n^2-n+11$
3. $n^{2} + n + 1$ $n^2+n+1$
4. $n^{2} - n - 30$ $n^2-n-30$

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FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

	$\color{#00880A}{(n)(n)}+\color{#9a00c7}{(n)(-6)}+\color{#007DDC}{(-5)(n)}+\color{#e65021}{(-5)(-6)}$
$=$ $=$	$n^{2} + (- 6 n) + (- 5 n) + 30$ $n^2+(-6n)+(-5n)+30$
$=$ $=$	$n^{2} + (- 6 n - 5 n) + 30$ $n^2+(-6n-5n)+30$	Collect like terms
$=$ $=$	$n^{2} - 11 n + 30$ $n^2-11n+30$

n^{2} - 11 n + 30

$n^2-11n+30$

Question 4 of 5

Expand and simplify.

(x - 1) (x - 12)

$(x-1)(x-12)$

1. $x^{2} + 11 x + 12$ $x^2+11x+12$
2. $x^{2} + 13 x - 11$ $x^2+13x-11$
3. $x^{2} + 12 x + 12$ $x^2+12x+12$
4. $x^{2} - 13 x + 12$ $x^2-13x+12$

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FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

	$\color{#00880A}{(x)(x)}+\color{#9a00c7}{(x)(-12)}+\color{#007DDC}{(-1)(x)}+\color{#e65021}{(-1)(-12)}$
$=$ $=$	$x^{2} + (- 12 x) + (- x) + 12$ $x^2+(-12x)+(-x)+12$
$=$ $=$	$x^{2} + (- 12 x - x) + 12$ $x^2+(-12x-x)+12$	Collect like terms
$=$ $=$	$x^{2} - 13 x + 12$ $x^2-13x+12$

x^{2} - 13 x + 12

$x^2-13x+12$

Question 5 of 5

Expand and simplify.

(2 x + 4) (x + 2)

$(2x+4)(x+2)$

1. $2 x^{2} + 8 x + 8$ $2x^2+8x+8$
2. $2 x^{2} - 8 x + 6$ $2x^2-8x+6$
3. $2 x^{2} - 4 x - 6$ $2x^2-4x-6$
4. $2 x^{2} - 8$ $2x^2-8$

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FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

	$\color{#00880A}{(2x)(x)}+\color{#9a00c7}{(2x)(2)}+\color{#007DDC}{(4)(x)}+\color{#e65021}{(4)(2)}$
$=$ $=$	$2 x^{2} + 4 x + 4 x + 8$ $2x^2+4x+4x+8$
$=$ $=$	$2 x^{2} + (4 x + 4 x) + 8$ $2x^2+(4x+4x)+8$	Collect like terms
$=$ $=$	$2 x^{2} + 8 x + 8$ $2x^2+8x+8$

2 x^{2} + 8 x + 8

$2x^2+8x+8$

FOIL Method – Same First Variable 1

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Quiz summary

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1. Question

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Fantastic!

FOIL Method

2. Question

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Well Done!

FOIL Method

3. Question

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Nice Job!

FOIL Method

4. Question

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Keep Going!

FOIL Method

5. Question

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Correct!

FOIL Method

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