Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.4: Special Products
Problem 7MCQ
Related questions
Question
Question 25
![E Mirna Lopez - 2021. E Mirna Lopez -Lectu.
ERatifying the Consti.
E The Six Basic F
-4
4 x
4X
- 2x-6=0
20
omial
In Exercises 21-28, write a polynomial functionf of
least degree that has rational coefficients, a leading
coefficient of 1, and the given zeros. (See Example 3.)
21. -5,-1, 2
22. -2, 1, 3
23. 3,4 + i
24. 2,5 i
25. 4.-V5
26. 3i, 2 i
27. 2. 1 +i, 2 V3
28. 3. 4 + 21, 1 + V7
ERROR ANALYSIS In Exercises 29 and 30, describe and
correct the error in writing a polynomial function with
rational coefficients and the given zero(s).
2r - 16
29. Zeros: 2. I +
- 20
reises 17-20,
s zeros for the
graph. Explain
f) = (x – 2)[ x – t +0]
= x(x -1-i) - 2(x-1-1)
= x2 - x- ix - 2x+ 2 + 2i
=メー(3+)x+ (2+2i)
Degree: 5
30. Zero 24
X) =[x-(2 +1) + (2 +1)]
= (x- 2 -(x+ 2+7)
= x + 2x + - 2x- 4- 2-i- 21-1
=- 4-3
ynomial Functions
hp](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9a0df01-5f90-4df9-9602-cd7913b80106%2F9eb2e0ab-7143-46fe-bf26-fd81e697c5c7%2Fj4ysmej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:E Mirna Lopez - 2021. E Mirna Lopez -Lectu.
ERatifying the Consti.
E The Six Basic F
-4
4 x
4X
- 2x-6=0
20
omial
In Exercises 21-28, write a polynomial functionf of
least degree that has rational coefficients, a leading
coefficient of 1, and the given zeros. (See Example 3.)
21. -5,-1, 2
22. -2, 1, 3
23. 3,4 + i
24. 2,5 i
25. 4.-V5
26. 3i, 2 i
27. 2. 1 +i, 2 V3
28. 3. 4 + 21, 1 + V7
ERROR ANALYSIS In Exercises 29 and 30, describe and
correct the error in writing a polynomial function with
rational coefficients and the given zero(s).
2r - 16
29. Zeros: 2. I +
- 20
reises 17-20,
s zeros for the
graph. Explain
f) = (x – 2)[ x – t +0]
= x(x -1-i) - 2(x-1-1)
= x2 - x- ix - 2x+ 2 + 2i
=メー(3+)x+ (2+2i)
Degree: 5
30. Zero 24
X) =[x-(2 +1) + (2 +1)]
= (x- 2 -(x+ 2+7)
= x + 2x + - 2x- 4- 2-i- 21-1
=- 4-3
ynomial Functions
hp
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