Final Review for IM 3 October 2020

What are the key graphical features obtained from a polynomial function?

• Zeros

• y-intercept, zeros

• End Behavior, Leading Coefficient

• y-intercept, zeros, End Behavior, Leading Coefficient

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Tags

CCSS.HSA-REI.B.4B

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x² -4) 
• (x+4)(x² -4)
• (x-4)(x-2)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor 2x² + 4x – 3x – 6 by grouping. Remember to look for common factors first.

• (2x – 3)(x + 2)

• 2x² + x - 6

• (2x + 3)(x - 2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve for the values of x:

(x - 5)(x - 1) = 0

• (5, 0) or (1, 0)

• (-5, 0) or (-1, 0)

• (0, -5) or (0, -1)

• (0, 5) or (0, 1)

Tags

CCSS.HSA-REI.B.4B

What are the
zeros of the polynomial
y = (x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

Find the zeros.

• x = 0 and 4
• x = 0 and -4
• x = 0
• x = -4

Tags

CCSS.HSF-IF.C.7A

What does it mean to "find the zeros"?

• Finding where the graph crosses the x-axis
• Finding where the graph crosses the y-axis
• Finding the very bottom of the graph.
• Finding the very top of the graph.

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Zeros: x = 3 and x = 4

What are the factors?

• (x - 3)(x - 4)

• (x + 3)(x - 4)

• (x - 3)(x + 4)

• (x + 3)(x + 4)

Tags

CCSS.HSA.APR.B.2