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This question group is public and is used in 10 tests.

Author: nsharp1
No. Questions: 6
Created: Dec 26, 2019
Last Modified: 5 years ago

Graphing Polynomial Functions

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Consider the polynomial function P(x)=x5-x4-93x3+41x2+1492x-1440 for the following questions.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
A.
Using polynomial long division, find the resulting polynomial if -8 is a zero of the function.
  1. x4+7x3-37x2-255x-548
  2. x4-9x3-21x2+209x-180
  3. x4-9x3-21x2-127x+2508
  4. x4+7x3-149x2+1233x-8354
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
B.
Using the result from the previous question, and the fact that 9 is also a zero of the function P(x), use polynomial division to find the result of P(x)(x+8)⋅(x-9).
  1. x3-18x2+141x-1060
  2. x3-18x2-183x-1438
  3. x3-21x+20
  4. x2-8x+43
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
C.
What are the remaining zeros of the function P(x)?
  1. -5, 1, and 4
  2. There are no more zeros.
  3. 1 and 4
  4. -5 and 4
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
D.
What is the end behavior of P(x)? Select how the function P behaves as x approaches negative infinity and as x approaches positive infinity.
P→-∞ P→+∞
x→-∞
x→+∞
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
E.
When graphing P(x), which of the following would be the best scale for the y-axis?
  1. -10, -9, ..., 9, 10
  2. -1,000, -900, ..., 900, 1,000
  3. -5,000, -4,500, ..., 4,500, 5000
  4. -10,000, -9,000, ...., 9,000, 10,000
Grade 11 Functions and Relations
F.
Graph the function P(x).
Graph 10x10