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(1)
Use synthetic division to determine the quotient Q(x) and the remainder R obtained when the first polynomial is divided by the second polynomial.

(a) ,

(b) , [bg_collapse view=”link” color=”#4a4949″ expand_text=”Hint” collapse_text=”Closed Hint” ]没有项，记得补0。[/bg_collapse]
(c) , [bg_collapse view=”link” color=”#4a4949″ expand_text=”Hint” collapse_text=”Closed Hint” ]用 做综合除法后商式还需除2，余数不用除2[/bg_collapse]
(d) , [bg_collapse view=”link” color=”#4a4949″ expand_text=”Hint” collapse_text=”Closed Hint” ]用 综合除法后因式还需除3，余式不用除3[/bg_collapse]

(a) ,

(b) ,

(c) ,

(d) ,
(2)
Use synthetic division to write the following expressions in the form .

(a)

(b) [bg_collapse view=”link” color=”#4a4949″ expand_text=”Hint” collapse_text=”Close Hint” ]Hint：用 – ¼ 做综合除法后商式还需除4，余数不用除2. [/bg_collapse]

(c) [bg_collapse view=”link” color=”#4a4949″ expand_text=”Hint” collapse_text=”Close Hint” ]没有项，记得补0。用½ 做综合除法后商式还需除，余数不用除 [/bg_collapse]

(a)

(b)

(c)

(3)
If has factor , find

(a) the values of a,
a 之值，
[bg_collapse view=”link” color=”#4a4949″ expand_text=”Hint” collapse_text=”Close Hint” ]用 –1做综合除法，所得余数= 0.[/bg_collapse]

(b) factorize the statement.

[bg_collapse view=”link” color=”#4a4949″ expand_text=”Hint” collapse_text=”Close Hint” ]将（a）综合除法所得商式因式分解。[/bg_collapse]