式的運算 Quiz: 20 Practice Questions (Grade 10)

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

多項式 $x^2-x-1$ 的常數項是

1

0

-1

2

2.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

下列何者是 $x$ 的多項式？

$x+x^{-1}+1$

$x+\sqrt[]{x}+1$

$x^2+x+1$

$x^2+\left|x\right|+1$

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$f\left(x\right)=x^2-x-1$ 所有項的係數和為何？

$f\left(0\right)$

$f\left(1\right)$

$f\left(-1\right)$

$f\left(1\right)+f\left(-1\right)$

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$f\left(x\right)=ax^3+x^2-x-1$ 是二次多項式，則 $a$ =

0

1

-1

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$f\left(x\right)=-x^4+2x^3+3x^2-5x+7$ 多項式的領導係數為

0

1

-1

2

6.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$f\left(x\right)=x^{2021}+3x^{110}-20x+9$ 除以 $x-1$ 之餘式為

-7

7

-1

1

7.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

設 m、n 為整數，則下列何者不可能是 $f\left(x\right)=4x^6+mx^3+nx+6$ 之因式？

$2x-3$

$3x+1$

$2x+1$

$x-2$

8.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

關於 $\frac{-2x+5}{\ x^2+4x-1\ }$

是真分式

是假分式

是帶分式

不是分式

9.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

下列何者正確?

$2i>i$

$2+i<1-i$

$i<-1$

$i^2\ne1$

10.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

求 $i^0+i^1+i^2+...+i^{12}+i^{13}+i^{14}=?$

$i$

$-i$

0

1

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式的運算

多項式 x2−x−1x^2-x-1x2−x−1 的常數項是

下列何者是 xxx 的多項式？

f(x)=x2−x−1f\left(x\right)=x^2-x-1f(x)=x2−x−1 所有項的係數和為何？

f(x)=ax3+x2−x−1f\left(x\right)=ax^3+x^2-x-1f(x)=ax3+x2−x−1 是二次多項式，則 aaa =

f(x)=−x4+2x3+3x2−5x+7f\left(x\right)=-x^4+2x^3+3x^2-5x+7f(x)=−x4+2x3+3x2−5x+7 多項式的領導係數為

f(x)=x2021+3x110−20x+9f\left(x\right)=x^{2021}+3x^{110}-20x+9f(x)=x2021+3x110−20x+9 除以 x−1x-1x−1 之餘式為

設 m、n 為整數，則下列何者不可能是 f(x)=4x6+mx3+nx+6f\left(x\right)=4x^6+mx^3+nx+6f(x)=4x6+mx3+nx+6 之因式？

關於 −2x+5 x2+4x−1 \frac{-2x+5}{\ x^2+4x-1\ } x2+4x−1 −2x+5​

下列何者正確?

求 i0+i1+i2+...+i12+i13+i14=?i^0+i^1+i^2+...+i^{12}+i^{13}+i^{14}=?i0+i1+i2+...+i12+i13+i14=?

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Discover more resources for Mathematics

多項式 $x^2-x-1$ 的常數項是

下列何者是 $x$ 的多項式？

$f\left(x\right)=x^2-x-1$ 所有項的係數和為何？

$f\left(x\right)=ax^3+x^2-x-1$ 是二次多項式，則 $a$ =

$f\left(x\right)=-x^4+2x^3+3x^2-5x+7$ 多項式的領導係數為

$f\left(x\right)=x^{2021}+3x^{110}-20x+9$ 除以 $x-1$ 之餘式為

設 m、n 為整數，則下列何者不可能是 $f\left(x\right)=4x^6+mx^3+nx+6$ 之因式？

關於 $\frac{-2x+5}{\ x^2+4x-1\ }$

求 $i^0+i^1+i^2+...+i^{12}+i^{13}+i^{14}=?$