Answer:
Step-by-step explanation:
Instead, since the divisor is in the form of 
, use what is called Synthetic Division. Remember, in this formula, 
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 →
You start by placing the 
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an 
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of .
I am joyous to assist you anytime.
Answer:
1 1/2
Step-by-step explanation:
2 2/3 - 1 1/6 = ?
The LCD here is 6. Convert 2 2/3 so that the denominator is 6:
2 2/3 = 2 4/6
Then subtract 1 1/6 from 2 4/6: We get 1 3/6, or 1 1/2
Answer:
a) How many full packages will be used to ship the jeans?
41 packages
b) How many jeans are left over?
24 Jeans
Step-by-step explanation:
We are told that a manufacturer: made 1500 Jeans and is shipping them in packages of 36.
Hence, the number of packages of 36 he can send out to stores is calculated as:
1500÷ 36
= 41.666666667
In whole number packages = 41 packages
Hence, 41 full packages would be used to ship the jeans.
The number of Jeans left behind is
1500 - (41 × 36)
= 1500 - 1476
= 24 Jeans
Answer: -5, 6, and 9
Step-by-step explanation:
G(x) = ax^2
y = ax^2
5 = a(1)^2
a = 5
Therefore, g(x) = 5x^2
