Algebra 2-Assessment Lesson 3.09-Factoring Activity

GCF

MISC

Factoring Trinomials

Factoring By Grouping

Of the Cubes

100

What does GCF mean?

Greatest Common Factor

100

Does 4d-1 have a GCF

100

Solve (a + b)( a - b)

(a²+ b²)

100

Whats the definition of Factoring By Grouping?

Grouping terms with common factors before factoring

100

What is the sum of cubes equation?

a³+ b³=(a + b)(a²- ab + b²)

200

How do you factor the GCF out of a equation?

Divide each monomial by the GCF

200

What is the difference of squares?

Its a binomial where both terms are perfect squares and the 2 terms are subtracted

200

Factor x²+ 6x + 9

What is

(x + 3)(x + 3) or (x + 3)²

200

How many parentheses should the solution have in the end?

Two sets

200

How do you know if its supposed to be the Difference of Cubes?

If it has subtraction in the first binomial

300

When factoring a GCF among variable look for the what?

Smallest Exponent

300

What is the definition of Perfect Square Trinomial?

When you multiply a binomial by itself twice

300

What the appropriate way to check your work?

Work the problem out. Start by using FOIL and then distribute any GCF's if there were any.

300

Do you factor out the second set or parentheses if there are two or the same ones?

Yes

300

What is the second step of Factoring the Sum and Difference of cubes?

To find the cube root for each term

400

Using GCF Factor 12vw+28v+4vw?

What is 4v(4w + 7)

400

Factor 25g²- 64

What is (5g+8)(5g-8)

400

Solve 2x²- 26x + 44

2(x-11)(x-2)

400

What happens to the GCFS of the binomials?

You combine them to make their own binomial

400

True or False: A and B must be the cube root of another number

True

500

Factor using GCF 7x³ + 14x² + 21x⁴

What is (7x²)(3x²+ x + 2)

500

8x³- 125

If (a³- b³) Then (a - b)(a²+ab+b²)

a = 2x and b = 5

a² = 4x² b² = 25 ab = 10x

(2x - 5)(4x² + 10x + 25)

500

Factor: 5t² + 12t - 9

ac = - 45

45 = (1*45), (3*15), (5*9)

12 = 15 - 3

5t² + 15t - 3t - 9

(5t² + 15t) + (-3t - 9)

5t(t + 3) + -3(t + 3)

(5t - 3)(t + 3)

500

Factor x³ + 2x² + 8x + 16

(x³ + 2x²) + (8x + 16)

x²(x + 2) + 8(x + 2)

(x + 2)( x²+ 8)

500

Solve this in 2 minutes: 2z³+250

2(z³+ 125)

Sum of Cubed

2(z+5)(z²- 5z + 25)