Polynomials

What is the x and y - intercept of the cubic function? f(x) = x³

• None

• (-∞,∞)

• (1,0)

• (0,0)

What do you use to factor by grouping?

f(x) = x³ + x² + x + 1

• f(x) =( x³ + x² )( x + 1)

• f(x) =| x³ + x² || x + 1|

• f(x) =( x³ + x² + x + 1)

• f(x) =x³ + x² + x + 1

What are the two factors of this polynomial?

f(x) = x³ + 6x² + 2x + 12

• (x² + 2) and (x + 6)

• (x² + 6) and (x + 2)

• (x + 2) and (x + 6)

• (x + 2) and (x² + 6)

Factor completely!

(x - 5)(x² - 4)

• 
  

  (x - 5)(x - 4)(x + 4)

  
  

• (x - 5)(x - 2)(x + 2)

• 
  

  (x + 5)(x + 2)(x - 2)

  
  

• 
  

  Not Factorable!

  
  

Given g(x) = x²(x+4)(x-2)

What are the x-intercepts?

• x = {2, -4, 1}

• x = {2, -4, 0}

• x = {-2, 4, 0}

• x = {2, 1, 1}

Factor.

8x³ - 27

• (2x + 3)(4x² - 6x + 9)

• (2x - 3)(4x² - 6x + 9)

• (8x - 27)(8x² + 6x + 27)

• (2x - 3)(4x² + 6x + 9)

Which of the following factors produces the following x-intercept?

(3, 0)

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

Which of the following factors produces the following x-intercept?

(-5, 0)

• (x - 4)

• x

• (x - 5)

• (x + 5)

Which of the following factors produces the following x-intercept?

(0, 0)

• (x - 4)

• x

• (x - 1)

• (x + 1)

What is the factored form of the quadratic equation?

f(x) = x² - 5x + 6

• (x - 2)(x - 3)

• (x + 2)(x + 3)

• (x - 1)(x - 6)

• (x + 1)(x + 6)