In Problems 11–20, use the Remainder The- determine whether x – c is a factor of f(x). 11. f(x) = 4x' – 3x – &r + 4; x – 2 %3D 13. f(x) = 5x* - 20x³ + x - 4; x - 2 %3D 15. f(x) = 2x° + 129x² + 64; x + 4 WRE 17. f(x) = 4x – 64x + x² – 15; x + 4 %3D - 1 19. f(x) = 2x* - x + 2x – 1; x %3D -

College Algebra
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Chapter3: Polynomial Functions
Section3.3: Polynomial And Synthetic Division
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13,19 please please help me? Please explain the answers and step by step please
- Problems 11–20, use the Remainder Theorem to find the remainder when f(x) is divided by x – c. Then use the Factor Theorem to
determine whether x – c is a factor of f(x).
11. f(x) = 4x³ – 3x² – 8x + 4; x – 2
12. f(x)
-4x3 + 5x2 + 8; x + 3
13. f(x) = 5x* – 20x + x – 4; x – 2
14. f(x)
= 4x4 – 15x? – 4; x – 2
15. f(x) = 2x° + 129x³ + 64; x + 4
16. f(x) = 2x° – 18x* + x² – 9; x + 3
17. f(x) = 4x° – 64x* + x² – 15; x + 4
28 +
(x)).08
Thestem.
18. f(x) = x° - 16x* + x² – 16; x + 4
1
1
19. f(x) = 2x*4 – x² + 2x – 1; x –
20. f(x) = 3x* + x - 3x + 1; x +
( 18
Transcribed Image Text:- Problems 11–20, use the Remainder Theorem to find the remainder when f(x) is divided by x – c. Then use the Factor Theorem to determine whether x – c is a factor of f(x). 11. f(x) = 4x³ – 3x² – 8x + 4; x – 2 12. f(x) -4x3 + 5x2 + 8; x + 3 13. f(x) = 5x* – 20x + x – 4; x – 2 14. f(x) = 4x4 – 15x? – 4; x – 2 15. f(x) = 2x° + 129x³ + 64; x + 4 16. f(x) = 2x° – 18x* + x² – 9; x + 3 17. f(x) = 4x° – 64x* + x² – 15; x + 4 28 + (x)).08 Thestem. 18. f(x) = x° - 16x* + x² – 16; x + 4 1 1 19. f(x) = 2x*4 – x² + 2x – 1; x – 20. f(x) = 3x* + x - 3x + 1; x + ( 18
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