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100
How do you solve an equation to find the greatest common factor?
To find the greatest common factor you list out all the factors between the two numbers and select the highest factor that the two have in common, or you can use a factor tree called prime factorization.
100
How do you solve an equation by factoring by grouping?
To factor by grouping you take the values that are the same in the parenthesis and the values that are outside the parenthesis and put each in a new set of parenthesis next to eachother.


100
How do you solve a problem by factoring with trinomials?
To solve a problem you take out the last number and find out which two factors of that number will equal the middle number.
100
How do you solve a problem by factoring the trinomial with a lead coefficient?
To solve a problem you multiply the first and last numbers and then find out which two factors will equal the middle number and then put it back into the equation and solve.
100
How do you solve a problem using the difference of two squares?
To find the difference of two squares you square both numbers and put it in the form (a + b) (a - b).
200
Find the GCF of 18 and 27
18: 1, 2, 3, 6, 9, 18


27: 1, 3, 9, 27 


GCF = 9

200
Factor 8c (x^2 + 7) + 6 (x^2 + 7)

8c (x^2 + 7) + 6 (x^2 + 7)

Answer: (x^2 + 7) (8c + 6)

200
Factor the trinomial: x^2 + 6x + 5

x^2 + 6x + 5       1*5 = 5/ 1 + 5 = 6

Answer: (x + 1) (x + 5)


200
Factor the trinomial: 3x^2 + 5x + 2 

2x^2 + 5x + 2    2*2 = 4/ 4 + 1 = 5

(2x^2 + 4x) + (1x + 2)

2x (x + 2) + 1 (x + 2)

Answer: (2x + 1) (x + 2) 

200
Find the difference of two squares: x^2 - 36

x^2 - 36

x * x, 6 * 6 

Answer: (x + 6) (x - 6)

300

Find the GCF of 5x^7 and 25x^4

5x^7= 1 * 5 * x * x * x * x * x * x * x


25x^4 = 1 * 5 * 5 * x * x * x * x 


GCF = 5x^4

300
Factor 7b^4 (4b^3 - 8) - 3 (4b^3 - 8) 

7b^4 (4b^3 - 8) - 3 (4b^3 - 8) 

Answer: (4b^3 - 8) (7b^4 - 3) 

300
Factor the trinomial: x^2 + 14x + 45

x^2 + 14x + 45       45/ 5 + 9 = 14

Answer: (x + 5) (x + 9) 

300
Factor the trinomial: 3x^2 + 5x + 2 

3x^2 + 5x - 2      3*-2 = -6/ 6 - 1 = 5

(3x^2 + 6x) (-1x - 2)

3x (x + 2) -1 (x + 2)

Answer: (3x - 1) (x + 2) 

300
Find the difference of two squares: 16p^6 - 25g^8

16p^6 - 25g^8

4p^3 * 4p^3, 5g^4 * 5g^4

Answer: (4p^3 + 5g^4) (4p^3 - 5g^4)

400
 Find the GCF of 7x^2 and 35x^3
7x^2= 7 * x * x


35x^3 = 5 * 7 * x * x * x


GCF = 7x^2

400
Factor 7d^2 (5d^5 + 8) - 4 (5d^5 - 6)

7d^2 (5d^5 + 8) - 4 (5d^5 - 6)

Answer: This cannot be factored because the values in both the parenthesis are not the same and do not equal eachother.

400
Factor the trinomial: x^2 - 7x + 8 


x^2 - 7x + 6       6/ -1 - 6 = -7

Answer: (x - 1) (x - 6) 

400
Factor the trinomial: 2b^2 + 15b - 8   

2b^2 + 15b - 8    2*-8 = -16/ 16 - 1 = 15

(2b^2 + 16b) (-1b - 8)

2b (b + 8) -1 (b + 8) 

Answer: (b + 8) (2b - 1) 

400
Find the difference of two squares: 81p^2 - 7q^2

81p^2 - 7q^2

Answer: No, because 7 is not a perfect square.