# How do you use synthetic division to divide #(2x^2 – 23x + 63) ÷ (x – 7)#?

##### 1 Answer

#### Answer:

(see below for details of synthetic division method)

#### Explanation:

Set up for synthetic division by monic binomial divisor:

row [1]: the coefficients of the terms of the dividend polynomial (in descending exponent sequence)

row [3]: the

negativeof the constant from the divisor (the#xx# sign may be omitted; it is simply there as a reminder for later processing)

and

a copy of the first dividend coefficient

Repeat until you have entered a value in the last column of row [3]

Multiply the last value entered in row [3] by the negative of the divisor coefficient and write the product in the next column of row [2].

Add the values in rows [1] and [2] to get the next column value for row [3]

#{: (,"|",2,-23,color(white)("X")+6,color(white)("XXXX")"row [1]"), (,"|",,color(white)("X")14,,color(white)("XXXX")"row [2]"), ("-----",,"-----","-----","-----",), (xx (+7),"|",2,-9,,color(white)("XXXX")"row [3]") :}#

The

The

i.e. the final answer is