Factoring Polynomials: Special Cases

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSA.APR.C.4

Standards-aligned

Tugba Adanur

Used 2K+ times

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7 Slides • 13 Questions

Factoring Polynomials: Special Cases

Multiple Choice

Factor x² – 16.

(x + 2)(x – 8)

(x – 4)(x – 4)

(x + 4)(x + 4)

(x + 4)(x – 4)

Multiple Choice

Fully Factor the Following
25x²-81

(5x-9)²

(5x+9)(5x-9)

25(x-9)²

(9x+5)(9x-5)

Multiple Select

Which is an example of difference of two squares?

( x³- 4)

( x² - 3)

( x² + 4)

( x² - 4)

Multiple Choice

What is ALWAYS the first step when factoring?

Look for the GCF

Write a, b, and c

Difference of squares

Group

Multiple Choice

9x²- 49y⁶

( 3x + 7y³) (3x + 7y³)

( 3x - 7y³) (3x + 7y³)

( 3x - 7y³) (3x - 7y³)

Prime

Multiple Choice

We can't factor using difference of two square this

49x² + 4y². Why?

Because 4 is not a perfect cubed number.

Because 4 is not a perfect squared number.

Because 49 is not a perfect squared number.

Because we can't factor using difference of two squares if it is addition sign.

Multiple Choice

What is ALWAYS the first step when factoring?

Look for the GCF

Write a, b, and c

Difference of squares

Group

Multiple Choice

Factor

3x²- 75

3( x + 5 ) ( x - 5 )

Does not factor (prime)

( x + 5 ) ( x - 5 )

3( x - 5 ) ( x - 5 )

Multiple Choice

Factor x³+125

(x+5)(x²-25)

(x-5)(x²+25)

(x+5)(x²-5x+25)

(x-5)(x²+5x+25)

Multiple Choice

Factor n³-27

(n-3)(n²+9)

(n+3)(n²-9)

(n+3)(n²-3x+9)

(n-3)(n²+3x+9)

Multiple Choice

Factor this difference of cubes:
x³ - 343

(x + 7) (x² - 7x + 49)

(x² + 1) (x - 343)

(x - 7) (x² + 7x + 49)

(x² - 343) (x + 1)

Multiple Choice

Factor 8x³+27y³

(2x+3y)(4x²-9y²)

(2x+3y)(4x²-36xy+81y²)

(2x+3y)(4x²-6xy+9y²)

(2x-3y)(4x²+6xy+9y²)

Multiple Choice

125x³ - 64

(5x - 4)(25x² + 20x + 16)

(5x + 2)(25x² - 10x + 4)

(3x - 1)(9x² + 3x + 1)

(4x - 3)(16x² + 12x + 9)

Factoring Polynomials: Special Cases

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