Factoring the Sum of Squares in Complex Numbers

Factoring the Sum of Squares in Complex Numbers

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

CCSS
HSN.CN.A.1, HSN.CN.C.8, HSA.APR.C.4

+2

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSN.CN.A.1
,
CCSS.HSN.CN.C.8
,
CCSS.HSA.APR.C.4
CCSS.7.EE.A.1
,
CCSS.HSN.CN.C.9
,

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of X squared minus Y squared?

X minus Y, times X minus Y

X plus Y, times X plus Y

X squared plus Y squared

X plus Y, times X minus Y

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which terms cancel out when verifying the difference of squares formula?

X and Y

Negative Y squared and positive Y squared

Negative XY and positive XY

X squared and Y squared

Tags

CCSS.7.EE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Before knowing about imaginary numbers, how did we handle X squared plus Y squared?

We factored it as X plus Y, times X minus Y

We ignored it

We couldn't factor it

We used a different formula

Tags

CCSS.HSN.CN.C.9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the imaginary unit 'i' defined as?

i equals negative one

i squared equals 1

i equals one

i squared equals negative one

Tags

CCSS.HSN.CN.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can X squared plus Y squared be expressed using imaginary numbers?

X squared plus Y squared

X squared minus Y squared

X squared plus iY squared

X squared minus iY squared

Tags

CCSS.HSN.CN.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of X squared plus Y squared using imaginary numbers?

X plus Y, times X minus Y

X minus iY, times X minus iY

X plus iY, times X minus iY

X plus iY, times X plus iY

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying X plus iY and X minus iY?

X squared plus iY squared

X squared minus Y squared

X squared minus iY squared

X squared plus Y squared

Tags

CCSS.HSN.CN.C.8

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