From the problem, we have an algebraic expression :
![\frac{1}{4}d+7](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dd%2B7)
Which is the product of 1/4 and a number, plus 7.
ANSWER :
a. the product of one-fourth and a number plus seven
Answer:f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
Step-by-step explanation:
First step of a synthetic divison is that we need to carry down the leading coefficient. Here the leading coefficient is 2. So, carry down 2 at the bottom.
Next step is to multiply the divisor -3 with this carry down number 2. So, we have got 3*(-2)= -6 which will place atthe bottom of the next coefficient 4.
Next step is to add this column.
Now repeat the same method again till the last colum.
At the end we have got 0 after the addition. Which means the remainder is 0.
So, the quotient is 2x^2-2x+2.
I have included a picture. In the picture you will find the work and final answer.