翰林國中數學2上CH3-2 利用十字交乘法因式分解

翰林國中數學2上CH3-2 利用十字交乘法因式分解

8th Grade

10 Qs

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翰林國中數學2上CH3-2 利用十字交乘法因式分解

翰林國中數學2上CH3-2 利用十字交乘法因式分解

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Hard

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翰林數學 翰林數學

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

下列四個選項中,何者因式分解是錯誤的?

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

若二次多項式 x25x+6x^2-5x+6 可分解成 (x+a)(x+b)\left(x+a\right)\left(x+b\right) ,且 a<ba<b ,則下列何者正確?

 a+b=5a+b=5  

 ab=5a-b=-5  

 ab=6ab=6  

 ab=6a-b=-6  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

下列因式分解何者錯誤

 x2+8x+12=(x+4)(x+3)x^2+8x+12=\left(x+4\right)\left(x+3\right)  

 x2+12x45=(x+15)(x3)x^2+12x-45=\left(x+15\right)\left(x-3\right)  

 x27x8=(x8)(x+1)x^2-7x-8=\left(x-8\right)\left(x+1\right)  

 x213x+36=(x9)(x4)x^2-13x+36=\left(x-9\right)\left(x-4\right)  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

 x25x+ax^2-5x+a 用十字交乘法分解過程如下,則下列何者正確?

 a=6k=2a=6,k=-2  

 a=6k=2a=-6,k=-2  

 a=6k=2a=6,k=2  

 a=6k=2a=-6,k=2  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

若多項式 99x27x299x^2-7x-2 可以因式分解成 (9x+a)(bx+c)\left(9x+a\right)\left(bx+c\right) ,則 abc=abc= 

 22-22  

 11-11  

 1111  

 2222  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

下列因式分解有幾個正確?

1

2

3

4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

小慧利用十字交乘法因式分解 2x27x152x^2-7x-15 的步驟如圖所示,請你幫她找出哪一個步驟開始出錯

步驟一:將 2x22x^2 寫成 2xx2x\cdot x 

步驟二:將 15-15 寫成 3×(5)3\times\left(-5\right) 

因式分解成 (2x5)(x+3)\left(2x-5\right)\left(x+3\right) 

以上步驟均正確無誤

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