A)
Multiple Choice
Find the degree of the monomial 6p^3 q^2 .
(1 point)
2
3
5
6
The degree of a monomial is the sum of the exponents of its variables. In this case, the degree of the monomial 6p^3 q^2 is 3+2=5.
Therefore, the correct answer is 5.
A)
Factor 18s – 63.
(1 point)
9(2s + 7)
6(3s – 11)
18(s– 3)
9(2s – 7)
To factor 18s - 63, we can look for the greatest common factor (GCF) of both terms which is 9.
So we can rewrite the expression as:
9(2s - 7).
Therefore, the correct answer is 9(2s - 7).
Divide (18x^3+12x^2-3x)/6x^2
To divide (18x^3 + 12x^2 - 3x) by 6x^2, we divide each term in the numerator by the denominator:
18x^3 / 6x^2 = 3x
12x^2 / 6x^2 = 2
-3x / 6x^2 = -1/2x
Putting it all together, we have:
(18x^3 + 12x^2 - 3x) / 6x^2 = 3x + 2 - 1/2x
Therefore, the result of the division is 3x + 2 - 1/2x.
Divide (2x^3-x^2-24x+12)/(2x-1)
To divide (2x^3 - x^2 - 24x + 12) by (2x - 1), we can use long division:
```
x^2 - 12x - 6
________________________
2x - 1 | 2x^3 - x^2 - 24x + 12
- (2x^3 - x^2)
________________
- 23x + 12
- (- 23x + 11)
______________
1
```
Therefore, the result of the division is x^2 - 12x - 6 with a remainder of 1.