22. Solve the following for all solutions, both real and imaginary. f(x) = 2 x - 17x + 30x -8. Since i be factored then use guess and check with synthetic division. f(x) = 2x17x, 30x-8

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Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 20CT
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Question 22
20. Find all the roots of f(x)=3x³ +18x² - 48x (you can find them by factoring)
f(x) = 3x†18x²- 48x
82 3x(x18)(x-2) =
X= 0,-8,2
3x(x+ 6x-16)
3
3
21. Factor the following completely. x³ – 3x² – 4x + 12
x*(x-3)- 4 (x-3)
(x-3)(x-u)
|= (x-3)(x-2)(x*2)|
22. Solve the following for all solutions, both real and imaginary. f(x) = 2x² – 17x +30 x – 8. Since it can't
be factored then use guess and check with synthetic division.
f(X) = 2x17x 30x-8
2 -17 30-8
0 -33 9
2 -11-3
23. Factor completely: 7x2+ 42x + 56
7x+42x+56
-4
2.
7(x²-6*+8)
24. Solve by Factoring: 2x2- 15 = -x
2x-15t X =0
2x + X-15=O
25. Solve using any method: -3x² – 30x - 27 = 0.
2x+ lox-5x-15
2x (x*+ 3x)- 5(X13) =0
Transcribed Image Text:20. Find all the roots of f(x)=3x³ +18x² - 48x (you can find them by factoring) f(x) = 3x†18x²- 48x 82 3x(x18)(x-2) = X= 0,-8,2 3x(x+ 6x-16) 3 3 21. Factor the following completely. x³ – 3x² – 4x + 12 x*(x-3)- 4 (x-3) (x-3)(x-u) |= (x-3)(x-2)(x*2)| 22. Solve the following for all solutions, both real and imaginary. f(x) = 2x² – 17x +30 x – 8. Since it can't be factored then use guess and check with synthetic division. f(X) = 2x17x 30x-8 2 -17 30-8 0 -33 9 2 -11-3 23. Factor completely: 7x2+ 42x + 56 7x+42x+56 -4 2. 7(x²-6*+8) 24. Solve by Factoring: 2x2- 15 = -x 2x-15t X =0 2x + X-15=O 25. Solve using any method: -3x² – 30x - 27 = 0. 2x+ lox-5x-15 2x (x*+ 3x)- 5(X13) =0
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