8. (4x3+27x2 + 3x + 64) + (x + 7) 9. (x*-16x2- 40x - 25) (x - 5) (x+- lox?-40x-25) (x S)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 65HP
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Question
Please answer #8, #9, #10 thank you!
Use the Remainder Theorem to find the remainder of each polynomial division, Then determine if the divisor is
a factor of the polynomial.
10. (x² + 9) + (x – 3)
11. (x³ – 4x + 6) + (x + 3)
12. (x* + 4x³ + 16x – 35) + (x + 5)
13. (2x³ – 10x² – 71x – 9) → (x – 9)
(xt+Ax3+lox-35) - Lx+s)
(2x3-10x-71x-8) (x-4)
A polynomial f(x) and a factor of f (x) are given. Factor the polynomial completely using synthetic division.
Show work.
14. f(x) = 3x3 + 8x² + 3x – 2; (x + 2)
15. f(x) = x³ – 4x² – 11x + 30; (x – 2)
16. f(x) = 8x* – 24x³ – x + 3; (x – 3)
17. f(x) = 9x³+ 36x² – 4x – 16; (x + 4)
Transcribed Image Text:Use the Remainder Theorem to find the remainder of each polynomial division, Then determine if the divisor is a factor of the polynomial. 10. (x² + 9) + (x – 3) 11. (x³ – 4x + 6) + (x + 3) 12. (x* + 4x³ + 16x – 35) + (x + 5) 13. (2x³ – 10x² – 71x – 9) → (x – 9) (xt+Ax3+lox-35) - Lx+s) (2x3-10x-71x-8) (x-4) A polynomial f(x) and a factor of f (x) are given. Factor the polynomial completely using synthetic division. Show work. 14. f(x) = 3x3 + 8x² + 3x – 2; (x + 2) 15. f(x) = x³ – 4x² – 11x + 30; (x – 2) 16. f(x) = 8x* – 24x³ – x + 3; (x – 3) 17. f(x) = 9x³+ 36x² – 4x – 16; (x + 4)
OKonkuo Practice Worksheet: Synthetic Division
1. Based on the work provided,
write the dividend as a
2. Based on the work provided,
write the quotient as a
polynomial in standard form.
3. Based on the work provided,
write the dividend as a product
of two factors.
polynomial in standard form.
-10 0
-5
-2 1
2 1
6.
- 1
-2
-2 0
-2
-6
12 8
32
-1
3
2 8
27
10 1 3
-2
()
4. Fill in the missing values to complete the synthetic 5. Fill in the missing values to complete the synthetic
division.
division.
10
-4
て
-4
6.
3
-3
0.
- 1
-2
Find the quotient using synthetic division. You must show your work to get credit.
(2x3 + 4x² – 3x – 6) ÷ (x + 3)
7. (x3-6x2 +9) ÷ (x – 4)
8. (4x3 + 27x2 + 3x + 64) ÷ (x+ 7)
9. (x*- 16x2 – 40x – 25) ÷ (x – 5)
(サーlox-40x-25)を (x)
2.
Transcribed Image Text:OKonkuo Practice Worksheet: Synthetic Division 1. Based on the work provided, write the dividend as a 2. Based on the work provided, write the quotient as a polynomial in standard form. 3. Based on the work provided, write the dividend as a product of two factors. polynomial in standard form. -10 0 -5 -2 1 2 1 6. - 1 -2 -2 0 -2 -6 12 8 32 -1 3 2 8 27 10 1 3 -2 () 4. Fill in the missing values to complete the synthetic 5. Fill in the missing values to complete the synthetic division. division. 10 -4 て -4 6. 3 -3 0. - 1 -2 Find the quotient using synthetic division. You must show your work to get credit. (2x3 + 4x² – 3x – 6) ÷ (x + 3) 7. (x3-6x2 +9) ÷ (x – 4) 8. (4x3 + 27x2 + 3x + 64) ÷ (x+ 7) 9. (x*- 16x2 – 40x – 25) ÷ (x – 5) (サーlox-40x-25)を (x) 2.
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