11: 22,33,44,55
8: 16,24,32,40,48
2: 4,6,8,10,12
Answer:
Step-by-step explanation:
Use synthetic division:
The coefficients of 2x^3 - 1 are {2, 0, 0, -1}. Setting up synthetic division, we get:
1 / 2 0 0 -1
2 2 2
---------------------------
2 2 2 1
Note that the remainder is 1. The same result would be obtained through long division.
The quotient is 2x^2 + 2x + 2 with a remainder of 1.
Sum:
3x^5*y - 2x^3*y^4 - 7x*y^3
+ -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
-5x^5y - 6xy^3
Term 1: Degree = 6
Term 2: Degree = 4
Difference:
3x^5*y - 2x^3*y^4 - 7x*y^3
- -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
11x^5y - 4<span>x^3*y^4 - 8</span>xy^3
Term 1: Degree = 6
Term 2: Degree = 7
Term 3: Degree = 4
The degree of a term of a polynomial can be obtained by adding the exponents of the variables in that term.
Answer: ST is equal to 12
Step-by-step explanation:
If RU is equal to 24 as a whole and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.
6 + 6 +x = 24 where x is the length of ST
12 + x = 24
-12 -12
x = 12
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
