4.1 Polynomial Graphs

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Tags

CCSS.HSA.APR.B.3

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x= -4, x=3, x= -2

• x= -4, x=3, x=2

• x= -4, x=-3, x=2

• x=4, x= -3, x= -2

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

What are the decreasing intervals on the graph?

• x<0 and x>-4

• x<-1 and x>1

• x<-2 and x>2

• x<0 and x>4

Which equation best matches this graph?

• 
  

  $f(x)=\frac{1}{2}(x+6)(x+4)(x-10)$

• $g(x)=\frac{1}{2}(x+3)(x-2)(x-5)$
  

• $h(x)=\frac{1}{2}(x-3)(x+2)(x+5)$
  

• $p(x)=\frac{1}{2}(x+3)(x-2)(x+5)$
  

f(x) = 2x³ - 3x² + 4x -10

State the maximum number of zeros f(x) could have.

• 3

• 2

• 1

• -10

f(x) = 2x³ - x² -x

Find the zeros of f(x).

• {-½, 1}

• {-1, 0, ½}

• {-1, 0, 2}

• {-½, 0, 1}

Tags

CCSS.HSF-IF.C.7C

f(x) = x⁴ - 7x³ + 10x²

Find the zeros of f(x).

• {0, 2, 5}

• {0, 5}

• {-4, 0, 2}

• {0, 5/3, 2}

Tags

CCSS.HSF-IF.C.7C