Polynomial Factor Graph

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!

• No, it is not a factor!

Identify the zeros: Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

Identify the roots

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

• x=2, x=6, x=-4

• (x+2)(x+6)(x-4)

• (x-2)(x-6)(x+4)

• x=-2, x=-6, x=4

What is the factored form of a function if it has zeros of 2, 3 and -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)

Analyzing Graphs of Polynomials
Graph the function. Identify the x-intercepts.

• x = -5, -2, 2, and 5

• x = -5, 5

• x = -2, 2

• x = -5, -2, 0, 2, 5

5.8 - Analyzing Graphs of Polynomials
Graph the function. Identify the x-intercepts.

• x = -5, -2, 2, and 5

• x = -5, 5

• x = -2, 2

• x = -5, -2, 0, 2, 5

5.8 - Analyzing Graphs of Polynomials
Graph the function. Determine the intervals where the graph is increasing.

• −3.81 < x < 0 and when x > 3.81

• −3.81 > x > 0 and when x < 3.81
  

Using the above graph what is the sign of the leading coefficient?

• Positive

• Negative

Factor
k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)