6. If the binomial factor of a difference of two cubes is (3x – 2y),
what is its trinomial factor?
a. 6x2 - 4xy - 2y2
c. 9x2 - 6xy + 4y2
b. 6x2 + 9xy + 4y2
d. 9x2 + 6xy + 4y2
7. What are the factors of 9y2 – 4?
a. (3y + 2) (3y +2)
c. (3y + 1) (3y +4)
b. (3y + 2) (3y - 2)
d. (9y + 2) (9y +2)
8. What are the factors of 18x2 - 24x?
a. (9x + 6) (2x + 4)
c. 6x (3x - 4)
b. (3x +8) (6x + 6x + 3)
d. 2x (9x – 24)
9. Given the polynomial 18x2 - 12xy + 24y, what is the greatest
common monomial factor?
a. 2
b. 4
c. 6
d. 8
10. The greatest common monomial factor of the expression
15m2 -10m is 5m, what is the complete factored form of the expression?
a. 5m (3m - 2)
c. (5m -3m) (2 + 4y)
b. 5m (15m - 10m)
d. 5m (3m2 - 2m)
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Answer:
#7: B. (3y + 2) (3y -2)
#8: C. 6x (3x -4)
#9: C. 6
#10: A. 5m (3m - 2)
Step-by-step explanation:
#7: 9y² - 4 ☑️
(3y + 2) (3y -2)
9y² - 6y + 6y - 4
9y² - 4 ☑️
3y * 3y = 9y²
3y * -2 = -6y
2 * 3y = 6y
2 * -2 = -4
9y² - 6y + 6y - 4
9y² + 0 - 4
9y² - 4
#8: 18x² - 24x ☑️
6x (3x - 4)
18x² - 24x ☑️
6x * 3x = 18x²
6x * -4 = -24x
#9: 18x² - 12xy + 24y
18 / 6 = 3
12 / 6 = 2
24 / 6 = 4
CMF: 6
#10: 15m² - 10m ☑️
5m (3m - 2)
15m² - 10m ☑️
5m * 3m = 15m²
5m * -2 = -10m