NC.M3.U2.A-APR.2 & 6; A-SSE.2 Re-Test Lesson: 4 Slides

4 Slides • 5 Questions

1

Instructions:
Earn an 80% or higher on this lesson to be able to re-attempt the questions that you missed tied to this standard from our Unit 2 Test.

NC.M3.U2.A-PR.2 & A-SSE.2

2

This video covers sums and differences of cubic expressions. On the next slide, I'll have the formulas that he shows on his whiteboard.

3

Sum or difference of perfect CUBES

Follow the pattern, and remember to use SOAP!

When you have an expression with only two terms, always look to see if there is a something you can factor out to make them perfect squares or perfect cubes.

4

Multiple Choice

Which of the following is the rule for factoring the sum of cubes?

$a^3+b^3=$

1

$\left(a^2+b^2\right)\left(a-b\right)$

2

$\left(a+b\right)\left(a-b\right)$

3

$\left(a+b\right)\left(a+b\right)\left(a+b\right)$

4

$\left(a+b\right)\left(a^2-ab+b^2\right)$

5

Multiple Choice

Which of the following is the rule for factoring the difference of squares?

1

$a^2-b^2=\left(a+b\right)\left(a+b\right)$

2

$a^2-b^2=\left(a+b\right)\left(a-b\right)$

3

$a^2-b^2=\left(a-b\right)\left(a-b\right)$

4

$a^2-b^2=\left(a^2-2ab+b^2\right)$

6

Multiple Choice

Factor: x³+ 1

1

(x + 1)³

2

(x+1)(x²- x + 1)

3

(x - 1) (x² + x - 1)

4

(x + 1)(x² - 2x + 1)

7

8

Fill in the Blanks

Find the value of c when the polynomial p(x) is divisible by (x + 2)

$p\left(x\right)=4x^3+cx^2+x+2$

Type just the number as your answer.

9

Fill in the Blanks

Find the value for d in the polynomial f(x) if (x - 2) is a known factor of f(x).

$f(x)=x^4-dx^3+24x^2-32x+16$

Type your answer as just a number.

Instructions:
Earn an 80% or higher on this lesson to be able to re-attempt the questions that you missed tied to this standard from our Unit 2 Test.

NC.M3.U2.A-PR.2 & A-SSE.2

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