Polynomials Review

Which is a factor of  $x^2-11x+24?$  

•  $\left(x+3\right)$  

•  $\left(x-3\right)$  

•  $\left(x+4\right)$  

•  $\left(x-4\right)$  

Tags

CCSS.HSA.APR.B.2

Which of the following is one of the factors of the expression:  $4x^2-25?$  

•  $\left(4x-5_{ }\right)$  

•  $\left(2x+1\right)$  

•  $\left(4x-1\right)$  

•  $\left(2x-5\right)$  

Tags

CCSS.HSA.APR.C.4

What is the factored form of the expression?  $x^2-16$  

•  $\left(x-4\right)\left(x+4\right)$  

•  $\left(x-8\right)\left(x+8\right)$  

•  $\left(x-4\right)\left(x-4\right)$  

•  $\left(x-8\right)\left(x-8\right)$  

Tags

CCSS.HSA.APR.C.4

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x³ - x + 5

• Left up    Right up
• Left up   Right down
• Left down   Right up
• Left down   Right down

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)

What is the factored form of a function if it has zeros of 2, 3 and -1 and all factors have a multiplicity of 1?

• (x-2)(x-3)(x+1)

• (x-1)(x-2)(x-3)

• (x-1)(x+2)(x+3)

• (x+1)(x+2)(x+3)

Tags

CCSS.HSA.APR.B.3

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Tags

CCSS.HSA.APR.B.3