Test Review 2.1-4

Extra Factoring 2.4

 $k^4-10k^2-39$  

WARNING: Work out the problem first. You will have 30 seconds to select your answer on the next screen!

Multiple Choice

Factor Completely:

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

x⁴ - 4x² - 45

30 seconds to answer on the next screen

Multiple Choice

x⁴ - 4x² - 45

• (x² - 5)(x - 3)(x + 3)

• (x² + 45)(x + 1)(x - 1)

• (x² + 5)(x - 3)(x + 3)

• (x² + 3)(x - 5)(x + 3)

2k²-14k-60

Remember GCF!

Multiple Choice

Factor Completely:

2k²-14k-60

• 2(k-10)(k-3)

• Not Factorable

• (k-5)(k+9)

• 2(k-10)(k+3)

27x³ - 1

Multiple Choice

27x³ - 1

• (3x - 1)(9x² + 3x + 1)

• (2x - 1)(4x² + 2x + 1)

• (3x - 2)(9x² + 6x + 4)

• (3x + 1)(16x² + 4x + 1)

8x³ + 27

Multiple Choice

8x³ + 27

• (3x - 2)(9x² + 6x + 4)

• (3x - 1)(9x² + 3x + 1)

• (2x + 3)(4x² - 6x + 9)

• (2x - 3)(4x² + 2x + 1)

4x² - 25y²

Multiple Choice

4x² - 25y²

• Prime

• ( 2x - 5) (2x + 5)

• ( 4x - 5y) (4x - 5y)

• ( 2x - 5y) (2x + 5y)

8x³ - 18x

Multiple Choice

Factor Completely.

8x³ - 18x

• 2x(4x²-9)

• (4x²+3)(2x-3)

• 2x(2x+3)(2x-3)

• PRIME

x² - 25

Multiple Choice

Factor:x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

3x³ - x² + 6x - 2

Multiple Choice

Factor by grouping:

3x³-x²+6x-2

• (x²+2)(3x+1)

• (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe

3x² + 5x - 12

Hint: Multiply a(c)...which factors add to 'b'?

Multiple Choice

Factor completely:

3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

25x² - 81

Multiple Choice

What are the factors of

25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

 $4x^2+1$  

Multiple Choice

 $4x^2+1$  

• (2x + 1)(2x - 1)

• not factorable

• (2x + 1)(2x + 1)

There is NO Sum of Squares!

Which of the following is NOT a PST?

Multiple Choice

Which expression is NOT a PST?

•  $16x^2+24x+9$  

•  $9x^2-4x+1$  

•  $x^2+20x+100$  

•  $4x^2-4x+1$  

Multiple Choice

Is the inverse ALSO a FUNCTION?

• YES

• NO

Multiple Choice

Which relation is a one-to-one function?

• {(2, 1), (3, 1), (4, 0), (-2, 9)}

• {(5, 1), (-5, 0), (4, 5), (-2, 9)}

• {(7, 1), (3, 7), (4, 1), (-2, 9)}

Multiple Choice

Find f(g(x)). Then, state the domain.

Hint: Plug g into f first.
 $f\left(x\right)=\sqrt{x-5}\ \ and\ \ g\left(x\right)\ =\ 3x+1$  

•  $x\ge\frac{4}{3}$  

•  $x\ =\ 0$  

•  $x\ge0$  

•  $x\ge\frac{4}{5}$  

Multiple Choice

Which answer is COMPLETELY factored?

• (2x - 6)(5x + 1)

• (x² - 1)(x + 2)

• (2x - 5)(x² + 4)

Multiple Choice

Find the inverse.

 $f\left(x\right)=\frac{3}{4}x+2$  

•  $f^{-1}\left(x\right)=\frac{4}{3}x-\frac{8}{3}$  

•  $f^{-1}\left(x\right)=\frac{3}{4}x-\frac{3}{2}$  

•  $f^{-1}\left(x\right)=4x-\frac{2}{3}$  

•  $f^{-1}\left(x\right)=\frac{2}{3}x+\frac{8}{3}$  

Multiple Choice

Use the graph to answer.

Find g(f(2)) Click the graph to zoom in.

• -2

• 1

• 0

• 5

Multiple Choice

Determine f(w(x))

Remember to FOIL first!

 $f\left(x\right)=3x^2-5\ \ \ \ \ \ w\left(x\right)=x+1$  

•  $9x^2+6x+4$  

•  $3x^2+9x+3$  
  

•  $3x^2+6x-2$  
  

•  $3x^2+4x-6$