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

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.

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

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.

Multiple Choice

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

$$a^3+b^3=$$  

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

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

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

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

Multiple Choice

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

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

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

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

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

Multiple Choice

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

Fill in the Blank

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.

Fill in the Blank

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.