Homework Answers
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) =...
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
show work, neat writting please and thanks! 9) Given: f(x) = x - 7x2 + 4x...
show work, neat writting please and thanks!
9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
help with these two Question 2 Let P(x) = 2x} + 7x2 – 8x +5. Use...
help with these two
Question 2 Let P(x) = 2x} + 7x2 – 8x +5. Use synthetic division to find the value P(10). O 5,250 O 2,625 O none of these O 2,624 2,626 Question 9 Let f(x)=x2+x, g(x)=x2-1. Find (f+g)(x). o (f+g)(x) = 0 O None of these o (+g)(x)= x+1 of+g)(x) = x4 +x3 - x2-x o(+g)(x)=2x2+x-1 X O (f+g)(x)= X-1
these two please Question 2 Let P(x) = 2x + 7x2 – 8x +5. Use synthetic...
these two please
Question 2 Let P(x) = 2x + 7x2 – 8x +5. Use synthetic division to find the value P(10). O 5,250 O 2,625 O none of these O 2,624 O 2,626 Question 9 Let f'(x)=x2+x, g(x)=x2-1 Find (f+g)(x). off+g)(x) = 0 None of these o+g)(x) = x+1 Of+g)(x)=x4+x3 - x2-x o(+g)(x) = 2x2+x-1 Ov+gXx) = -1
The following function is given. f(x) = x3 – 5x² - 4x + 20 a. List...
The following function is given. f(x) = x3 – 5x² - 4x + 20 a. List all rational zeros that are possible according to the Rational Zero Theorem. (Use a comma to separate answers as needed.) b. Use synthetic division to test several possible rational zeros in order to identify one actual zero. One rational zero of the given function is (Simplify your answer.) c. Use the zero from part (b) to find all the zeros of the polynomial function....
Factor the polynomial f(x). Then solve the equation f) o. 10) f(x) x3+5x2- 9x-45 State the...
Factor the polynomial f(x). Then solve the equation f) o. 10) f(x) x3+5x2- 9x-45 State the domain of the rational function. (6 points) 11) g(x) =ー2 x +2 Given that the polynomial function has the given zero, find the other zeros. 12) f(x)=x3-4x2 + 9x-10:2
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2)....
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
63 only Using the Factor Theorem In Exercise use synthetic division to show that x is...
63
only
Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
(1) Use the Bisection method to find solutions accurate to within 10-2 for x3 – 7x2...
(1) Use the Bisection method to find solutions accurate to within 10-2 for x3 – 7x2 + 14x – 6 = 0 on the interval [3.2, 4]. Using 4-digit rounding arithmatic. (2) Consider the function f(x) = cos X – X. (a). Approximate a root of f(x) using Fixed- point method accurate to within 10-2 . (b). Approximate a root of f(x) using Newton's method accurate to within 10-2. Find the second Taylor polynomial P2(x) for the function f(x) =...
Question 13 (1 point) Given x + 4 a factor of f(x) = x3 - 12x...
Question 13 (1 point) Given x + 4 a factor of f(x) = x3 - 12x +16, calculate the full factorization of f(x). OA) f(x) = (x + 22(x + 4) B) f(x) = (x-2)2(x + 4) OC) f(x) = (x + 4)(x + 2)(x - 2) OD) f(x) = (x - 22(x - 4) Question 14 (1 point) For the polynomial, one zero is given. Find all others. (Hint: You may need to use the quadratic formula.) P(x) =...
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
show work, neat writting please and thanks!
9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
help with these two
Question 2 Let P(x) = 2x} + 7x2 – 8x +5. Use synthetic division to find the value P(10). O 5,250 O 2,625 O none of these O 2,624 2,626 Question 9 Let f(x)=x2+x, g(x)=x2-1. Find (f+g)(x). o (f+g)(x) = 0 O None of these o (+g)(x)= x+1 of+g)(x) = x4 +x3 - x2-x o(+g)(x)=2x2+x-1 X O (f+g)(x)= X-1
these two please
Question 2 Let P(x) = 2x + 7x2 – 8x +5. Use synthetic division to find the value P(10). O 5,250 O 2,625 O none of these O 2,624 O 2,626 Question 9 Let f'(x)=x2+x, g(x)=x2-1 Find (f+g)(x). off+g)(x) = 0 None of these o+g)(x) = x+1 Of+g)(x)=x4+x3 - x2-x o(+g)(x) = 2x2+x-1 Ov+gXx) = -1
The following function is given. f(x) = x3 – 5x² - 4x + 20 a. List all rational zeros that are possible according to the Rational Zero Theorem. (Use a comma to separate answers as needed.) b. Use synthetic division to test several possible rational zeros in order to identify one actual zero. One rational zero of the given function is (Simplify your answer.) c. Use the zero from part (b) to find all the zeros of the polynomial function....
Factor the polynomial f(x). Then solve the equation f) o. 10) f(x) x3+5x2- 9x-45 State the domain of the rational function. (6 points) 11) g(x) =ー2 x +2 Given that the polynomial function has the given zero, find the other zeros. 12) f(x)=x3-4x2 + 9x-10:2
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
63
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Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
(1) Use the Bisection method to find solutions accurate to within 10-2 for x3 – 7x2 + 14x – 6 = 0 on the interval [3.2, 4]. Using 4-digit rounding arithmatic. (2) Consider the function f(x) = cos X – X. (a). Approximate a root of f(x) using Fixed- point method accurate to within 10-2 . (b). Approximate a root of f(x) using Newton's method accurate to within 10-2. Find the second Taylor polynomial P2(x) for the function f(x) =...
Question 13 (1 point) Given x + 4 a factor of f(x) = x3 - 12x +16, calculate the full factorization of f(x). OA) f(x) = (x + 22(x + 4) B) f(x) = (x-2)2(x + 4) OC) f(x) = (x + 4)(x + 2)(x - 2) OD) f(x) = (x - 22(x - 4) Question 14 (1 point) For the polynomial, one zero is given. Find all others. (Hint: You may need to use the quadratic formula.) P(x) =...
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