4. For what value of c will the function f(x) = 2x* + 3x² + cx² – 12r – 9 have the same remainder when it is divided by (2x –1) and (x + 1). Show vour work 5 5. A family of quartic functions have zeros of 3 (degree 2), - and a) Write the equation of the family of quartic functions in factored form. b) Write the equation for the member that has a y-intercept of 90. Show your work. e) Describe the end behavior for the member in b). 1. Divide (8r² – 14x – 81) by (2r – 5) using long division or synthetic division. Show your work. Write the division equation. 2. When the function g(x) = 5x² – 2x° – 17+ kr is divided by (x + 2), the remainder is –15. Find k. Show your work 3. Determine the value of n so that (5x – 2) is a factor of (5x² – 17x2 + nx + 56). Show vour work.
4. For what value of c will the function f(x) = 2x* + 3x² + cx² – 12r – 9 have the same remainder when it is divided by (2x –1) and (x + 1). Show vour work 5 5. A family of quartic functions have zeros of 3 (degree 2), - and a) Write the equation of the family of quartic functions in factored form. b) Write the equation for the member that has a y-intercept of 90. Show your work. e) Describe the end behavior for the member in b). 1. Divide (8r² – 14x – 81) by (2r – 5) using long division or synthetic division. Show your work. Write the division equation. 2. When the function g(x) = 5x² – 2x° – 17+ kr is divided by (x + 2), the remainder is –15. Find k. Show your work 3. Determine the value of n so that (5x – 2) is a factor of (5x² – 17x2 + nx + 56). Show vour work.
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 17PT: Given the following information about a polynomial function, find the function. It has a double zero...
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