Factoring Review Lesson

Presentation

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Mathematics

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10th Grade

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Practice Problem

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Medium

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CCSS

HSA.SSE.A.2, HSA.APR.C.4, HSA.REI.B.4

Standards-aligned

Alicia Brunette

Used 56+ times

FREE Resource

11 Slides • 9 Questions

Factoring Review

Learning Target: I can factor quadratic expressions

Poll

Do you remember how to factor from first semester?

I don't remember factoring at all!

I might remember some steps

I feel confident in my ability to factor

Factoring Steps

3x^2+22x-16

Use an area model and diamond problem to factor quadratics

Step 1

Place your x² term and your constant diagonal from one another.

Multiple Choice

What do we do with those two values?

Add them and put them in the bottom of the diamond

Multiply them and put them in the bottom of the diamond

Multiply them and put them in the top of the diamond

Add them and put them in the top of the diamond

Step 2

Multiply your x² term and your constant. Place in the TOP of your diamond problem.

Open Ended

What goes in the bottom of your diamond problem?

3x^2+22x-16

Type response here

Step 3

Place your x term in the bottom of your diamond.

Step 4

Solve your diamond problem. Make a list of factors if it is helpful.

Multiple Choice

Which set of numbers should we use in our diamond problem?

-1 & 48

-2 & 24

-3 & 16

-4 & 12

-6 & 8

Step 5

Place the values into the missing spaces in your area model.

Fill in the Blanks

Type answer...

Step 6 & 7

Find the outsides of your area model. Then write you answer as a product.

$\left(3x-2\right)\left(x+8\right)$

Multiple Choice

Factor completely: x²-6x+8

(x-2)(x-4)

(x-1)(x-8)

(x+2)(x+4)

(x+1)(x+8)

Multiple Choice

Factor completely:
3x² + 5x - 12

(3x + 4)(x-3)

(3x - 4)(x + 3)

(3x + 3)(x -4)

(3x - 3)(x + 4)

When terms are missing

use patterns like difference of squares
factor out a gcf
add a zero in for the missing term

Multiple Choice

Factor:x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

Greatest Common Factor (GCF)

When all factors of an expression share a common factor, we can factor it out
Look at this expression: $4x^2+10x-6$
Each term has a factor of 2

Greatest Common Factor (GCF)

Each term has a 2 in it $4x^2+10x-6$
Factor a 2 out $2\left(2x^2+5x-3\right)$
Now use your box and diamond method to factor the terms in the parenthesis.
At the end, make sure to include the 2 in your answer
$2\left(2x-1\right)\left(x+3\right)$

Multiple Choice

Factor completely:
$2x^2-6x-108$

$\left(x-9\right)\left(x+6\right)$

$2\left(x+9\right)\left(x-6\right)$

$2\left(x-9\right)\left(x+6\right)$

$\left(x+9\right)\left(x-6\right)$

Factoring Review

Learning Target: I can factor quadratic expressions

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