Saipo
Sep 4, 2017, 07:14 AM
ZEROS OF POLYNOMIAL FUNCTIONS I. MODIFIED TRUE OR FALSE DIRECTION: Write TRUE if the statement is correct. If not, change the underline word to make the statement correct. NO ERASURE OR ANY ALTERATION ON EVERY FINAL ANSWER. For number 1 – 4, refer to the illustration of synthetic division.
_________1. The depressed polynomial is x2+4x+3. ______2. In P(x)=x3-2x2-21x-18, (x-6) is a binomial factor. ______3. The complete factorization of the function as illustrated in the synthetic division above is f(x)=(x+6)(x+3)(x+1). ______4. The zeros of the function are -6,-3,and-1. ______5. The list of possible zeros in f(x)=4x3+4x2-x-1 can be obtained using rational zero theorem. For number 6 – 7 If a polynomial function has integer coefficients, then every rational zero of the function has the form p/q, where p is the factor of the (6) constant term and q is the factor of (7) the leading coefficient term. ______________________6.
_________________________7.
II. COMPUTATION DIRECTION: Do as directed. SHOW YOUR SOLUTION. NO SOLUTION, NO SCORE! NO ERASURE OR ANY ALTERATION OF THE FINAL ANSWER.
a. Find zeros of polynomial functions.
a.1 f(x)=x^3-6x^2-13x+42
_____________________8. List of possible zeros
______________________9. Complete Factorization
______________________10. Zeros PLEASE SHOW ME THE SOLUTION :( AS
THE DIRECTION SAID SO
a.2 f(x)=x^4+x^3-15x^2+23x-10
______________________11. List of possible zeros
______________________12. Complete Factorization
______________________13. Zeros
a.3 f(x)=2x^3+5x^2-8x-10
______________________14. List of possible zeros
______________________15. Complete Factorization
______________________16. Zeros
b. ERROR ANALYSIS. Doug and Mika are listing all of the possible rational zeros for f(x)=〖4x〗4+〖8x〗5+10x2+3x+16 . Is either of them correct? Explain your reasoning.
http://imageshack.com/a/img922/8384/I2Vfxy.jpg > FOR THE PICTURE
___________________________17 – 18. Explanation
c. PROBLEM SOLVING (OPTIONAL) 5 PTS. http://imageshack.com/a/img924/8422/UgaQNM.jpg Please tell me how you did it on problem solving :)
_________1. The depressed polynomial is x2+4x+3. ______2. In P(x)=x3-2x2-21x-18, (x-6) is a binomial factor. ______3. The complete factorization of the function as illustrated in the synthetic division above is f(x)=(x+6)(x+3)(x+1). ______4. The zeros of the function are -6,-3,and-1. ______5. The list of possible zeros in f(x)=4x3+4x2-x-1 can be obtained using rational zero theorem. For number 6 – 7 If a polynomial function has integer coefficients, then every rational zero of the function has the form p/q, where p is the factor of the (6) constant term and q is the factor of (7) the leading coefficient term. ______________________6.
_________________________7.
II. COMPUTATION DIRECTION: Do as directed. SHOW YOUR SOLUTION. NO SOLUTION, NO SCORE! NO ERASURE OR ANY ALTERATION OF THE FINAL ANSWER.
a. Find zeros of polynomial functions.
a.1 f(x)=x^3-6x^2-13x+42
_____________________8. List of possible zeros
______________________9. Complete Factorization
______________________10. Zeros PLEASE SHOW ME THE SOLUTION :( AS
THE DIRECTION SAID SO
a.2 f(x)=x^4+x^3-15x^2+23x-10
______________________11. List of possible zeros
______________________12. Complete Factorization
______________________13. Zeros
a.3 f(x)=2x^3+5x^2-8x-10
______________________14. List of possible zeros
______________________15. Complete Factorization
______________________16. Zeros
b. ERROR ANALYSIS. Doug and Mika are listing all of the possible rational zeros for f(x)=〖4x〗4+〖8x〗5+10x2+3x+16 . Is either of them correct? Explain your reasoning.
http://imageshack.com/a/img922/8384/I2Vfxy.jpg > FOR THE PICTURE
___________________________17 – 18. Explanation
c. PROBLEM SOLVING (OPTIONAL) 5 PTS. http://imageshack.com/a/img924/8422/UgaQNM.jpg Please tell me how you did it on problem solving :)