 # Polynomial graphs with equation

Recent questions in Polynomial graphs Jewel Beard 2022-04-09 Answered

### Use the table method to find the quotient.Then, substitute the value $y=2$ into eachpolynomial, and show that the polynomialsrepresent integers with a true division equation.Show your work for both tasks!$\left(\frac{12{y}^{4}+4{y}^{3}-31{y}^{2}-9y+9}{4{y}^{2}-9}\right)$ Aarav Rangel 2022-02-04 Answered

### Fill in the blank/s.:True or false - Even-degree polynomial functions have graphs with the same behavior at each end ____________ Anabelle Schneider 2022-02-01 Answered

### Consider the polynomial function $g\left(x\right)=-{x}^{5}-9{x}^{3}-8x.$ Factor $g\left(x\right)$ completely and determine all of its complex zeros. Which of the zeros of g are not x-intercepts of the graph of $y=g\left(x\right)?$ Why do these zeros not correspond to a point on the x-axis? In general, what can be said about the similarities and differences between the zeros and the x-intercepts of the graphs of polynomial functions? toofehblf 2022-02-01 Answered

### The behavior of the graph of a polynomial function to the far left or the far right is called its_______ behavior, which depends upon the_______ term. Emerson Barnes 2022-01-31 Answered

### 6.When a polynomial $x4+x3-10x2-1$ is divided by another polynomial, the quotient is $x3-3x2+2x-8$ and the remainder is 31. Find the other polynomial. Please type the answer, not in writing thank you joygielymmeloiy 2022-01-31 Answered

### 1. Is ${x}^{2}-2\sqrt{5}x+x$ a polynomial? If not, state a reason. 2. Is -2020x a polynomial? If not, state a reason. 3. Is $x\frac{2}{3}+3x+1$ a polynomial? If not, state a reason. 4. Is $\frac{1}{{x}^{2}}+\frac{r}{{x}^{3}}+\frac{r}{{x}^{4}}$ a polynomial? If not, state a reason. 5. Is $\pi$ a polynomial? If not, state a reason. 6. Is $x{3}^{\sqrt{2}}+checkmark3{x}^{2}$ a polynomial? If not, state a reason. 7. Is ${x}^{3}+2x+1$ a polynomial? If not, state a reason. 8. Is $-2{x}^{-3}+{x}^{3}$ a polynomial? If not, state a reason. 9. Is $1-4{x}^{2}$ a polynomial? If not, state a reason. William Curry 2021-12-24 Answered

### How to find the end behavior of a quadratic function? mronjo7n 2021-11-22 Answered

### a) By inspection, find a particular solution of $y+2y=10$ b) By inspection, find a particular solution of $y+2y=-4x$ c) Find a particular solution of $y+2y=-4x+10$ d) Find a particular solution of $y+2y=8x+5$ dictetzqh 2021-11-20 Answered

### Summarize how graphs can be used to find solutions to polynomial inequalities. xcl3411 2021-11-19 Answered

### Find the exact length of the curve. $x={e}^{t}+{e}^{-t},y=5-2t,0\le t\le 3$ ikavumacj 2021-11-16 Answered

### Taylor’s formula with $n=1$ and $a=0$ gives the linearization of a function at $x=0$ With $n=2$ and $n=3$ we obtain the standard quadratic and cubic approximations. In these exercises we explore the errors associated with these approximations. We seek answers to two questions: a) For what values of x can the function be replaced by each approximation with an error less than ${10}^{-2}$ b. What is the maximum error we could expect if we replace the function by each approximation over the specified interval? Using a CAS, perform the following steps to aid in answering questions (a) and (b) for the functions and interval. Step 1: Plot the function over the specified interval. Step 2: Find the Taylor polynomials at $x=0$ Step 3: Calculate the $\left(n+1\right)$ st derivative ${f}^{\left(n+1\right)}\left(c\right)$ associated with the remainder term for each Taylor polynomial. Plot the derivative as a function of c over the specified interval and estimate its maximum absolute value, M. Step 4: Calculate the remainder ${R}_{n}\left(x\right)$ for each polynomial. Using the estimate M from Step 3 in place of ${f}_{\left(n+1\right)}\left(c\right)$ plot ${R}_{n}\left(x\right)$ over the specified interval. Then estimate the values of x that answer question (a). Step 5: Compare your estimated error with the actual error ${E}_{n}\left(x\right)=|f\left(x\right)-{P}_{n}\left(x\right)|$ by plotting ${E}_{n}\left(x\right)$ over the specified interval. This will help answer question (b). Step 6: Graph the function and its three Taylor approximations together. Discuss the graphs in relation to the information discovered in Steps 4 and 5. Emily-Jane Bray 2021-10-27 Answered

### Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. $f\left(x\right)={x}^{2}+{\left(1+2x\right)}^{\frac{1}{2}},4\le x\le 7$ nitraiddQ 2021-10-26 Answered

### Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x 2 − 4 x – 2are the same in every respect. Provide evidence to support your position. Khaleesi Herbert 2021-10-23 Answered

### Previously, you have approximated curves with the graphs of Taylor polynomials. Discuss possible circumstances in which the osculating circle would be a better or worse approximation of a curve than the graph of a polynomial. postillan4 2021-09-30 Answered

### For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at x = −2, x = 1, and x = 3. y-intercept at (0, −4). Suman Cole 2021-09-28 Answered

### For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Roots of multiplicity 2 at x = 3 and x = 1, and a root of multiplicity 1 at x = −3. y-intercept at (0, 9) alesterp 2021-09-26 Answered

### For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at x = −5, x = −2, and x = 1. y-intercept at (0, 6) necessaryh 2021-09-25 Answered

### For the following exercise, for each polynomial, a. find the degree. b. find the zeros, if any. c. find the y-intercept(s), if any. d. use the leading coefficient to determine the graph’s end behavior. and e. determine algebraically whether the polynomial is even, odd, or neither. $f\left(x\right)=-3{x}^{2}+6x$ BenoguigoliB 2021-09-24 Answered

### For the following exercises, use the given information about the polynomial graph to write the equation. Degree 4. Root of multiplicity 2 at x = 4, and roots of multiplicity 1 at x = 1 and x = −2. y-intercept at (0, −3). Aneeka Hunt 2021-09-24 Answered