We can do this two ways: polynomial division or synthetic division.
Polynomial division involves factoring the equations first. Synthetic division is basically long division.
I'm opting for polynomial division cause it's shorter.
First, we factor ((x^4)-(x^3)-(7x^2)+4x-3).
((x^4)-(x^3)-(7x^2)+4x-3)=(x-3)((x^3)+(2x^2)-x+1)
Then divide:
((x-3)((x^3)+(2x^2)-x+1)) ÷ (x-3) = (x^3)+(2x^2)-x+1
So your answer is B
So if 6 dozen cookies needs 3/4 cup of sugar, and we need to know how much sugar is needed to make 4 dozen, then find how much of 6 dozen 4 dozen is.
To do this, put it as a fraction:
4 dozen / 6 dozen, or 4/6, which is 2/3.
Since conveniently it calls for 3/4 cup of sugar, we can multiply that by 2/3, and we'll get 6/12, or 1/2.
So 1/2 cup of sugar is needed for 4 dozen cookies.
Answer:
x = 10
Step-by-step explanation:
In the last step, you can see that the fraction
has been multiplied by its reciprocal
, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply
·
:
6 · 5 = 30
3 · 1 = 3
<u><em>So now you should have the fraction:</em></u>
x = 
<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>
x = 10
Answer:
150
Step-by-step explanation:
200 divided by 8 = 25 each
25 x 6 = 150