ALG Quiz 5-2 Review

ALG Quiz 5-2 Review

Classify & Evaluate

Classify Polynomials

Evaluate Functions

End Behavior

Multiple Choice

Q1: Classify the following polynomial

• Quintic Polynomial

• Quartic Polynomial

• polynomial

Multiple Choice

Q2: If a question asks you to find f(2), what does that mean?

• Let x = 2

• Let y = 2

Multiple Choice

Q4: Which function has this end behavior?

Note: f(x)=y

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Multiple Choice

Q5: Identify the degree of the polynomial and the sign of the leading coefficient by the end behavior.

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

Factoring!

Difference of Squares, Sum or Difference of Cubes, Grouping

Multiple Choice

Q6: Factor completely: x⁴ - 16

• ( 2x - 4) ( 2x + 4)

• ( x² - 4) ( x² + 4)

• ( x² - 8) ( x² + 8)

• ( x - 2) ( x + 2) (x²+4)

Multiple Choice

Q7: Complete the factor formula:

 $a³+b³=$  

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Multiple Choice

Q8: Complete the factor formula:

 $a³-b³=$  

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Multiple Choice

Q9: Fully Factor the Following

8x³-27

• (2x+3)(4x²-6x+9)

• (2x-3)(4x²+6x+9)

• (2x-3)(4x²+6x-9)

• (2x-3)(2x²+6x+9)

Multiple Choice

Q10: Factor this sum of cubes:

2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

Multiple Choice

Q11: Factor by grouping:

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

Solve by Factoring

(Find the x-intercepts, zeros, roots, & solutions)

Remember simplifying radicals and imaginary numbers

Multiple Choice

Q12: Solve

 $9x^4-16=0$  

•  $x=\left\{\frac{\pm2\sqrt{3}}{3},\ \frac{\pm2i\sqrt{3}}{3}\right\}$  
  

•  $x=\left\{\frac{2\sqrt{3}}{3},\ \frac{2i\sqrt{3}}{3}\right\}$  
  

•  $x=\left\{-\frac{4}{3},\ \frac{4}{3}\right\}$  
  

•  $x=\left\{\pm2\sqrt{3},\ \pm2i\sqrt{3}\right\}$  
  

Multiple Choice

Q13: Solve

x⁴ - 10x² + 24=0

• (x²-6)(x²+4)

• x = {√4, 2i}

• x = {±√6, 2, -2}

• x= {√6, -2, 2}