# Math- polynomial functions

137,277 results

### Graphs of polynomial functions

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

### Polynomial Functions

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

### Polynomial Functions-help

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

### Math:Polynomial Functions

h(x) = -7x I was thinking that this was not a polynomial function because -7x is just one term making it a monomial but the answer key says it is a polynomial function. Could someone explain why that is so? Thanks :D

### Writing polynomial functions

How to write a polynomial function with the integral coefficients that have the following roots: #1.) 0, -1/2, 6 #2.) + or - 5i

### Graphing polynomial functions

How do i graph the polynomial function of: f(x)= (x+3)(x+1)(x-2) squared

### Functions

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

### Functions

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

### Math

The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is continuous. B. A polynomial because it is of the form axn. C. Not a polynomial because you are subtracting 2x. D. Not a polynomial because you can’t have any fractional exponents. Is the answer D?

### FUNCTIONS HELPPPPP????

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions) I do not know how does everyone get this answer g(x) = f2(x)-...

### math

Is the function a polynomial function? Why or why not? If it is a polynomial function identify and label the leading term and constant term. Here are the functions f(x)=(2-x^4)/13 f(x)=x^3+9x-(1/x) it would be great if you could do everything step by step and showing your work.

### Math

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?

### Math (polynomial functions)

Hi there, Can someone please help me understand the relationship between the FINITE DIFFERENCE and leading coefficient in a polynomial? I need to be able to determine the leading coefficient from a finite difference.

### Math

Can somebody explain to me how the table of value works for Polynomial Functions? :S

### m240

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes My answer is B is this correct.

### math

What conjectures/predictions can you make about polynomial functions whose highest exponent is 6, or 7?

### Math

2-4 paragraphs plus two graphs Details: Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileage at two different speeds, V1 and V2, the gas required varies as...

### algebra

Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on...

### algbra

Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on...

### Math

What is an example of two functions that intersect at least twice in the first quadrant but can neither be a polynomial or a "simple" function (i.e., sin(x), e^x)?

### Math ( Polynomial )

If the polynomial, x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomial x^2 - 2x + k, the remainder comes out to be x + a, find k + a, please work the complete solution instead of giving simply an answer.

### functions

Suppose p (x) is a polynomial with real coefficients and p (4 + 9i)=0. What is p(4-9i)?

### Algebra

I am having problems with polynomial functions. f(x)= (x-3)(x+2)(x+4)

### Calculus

If polynomial functions f(x) and g(x) satisfy d/dx {f(x)g(x)}=2x , f(0)=−3 , and g(0)=3,what is f(10)g(10) ?

### Math

Given the polynomial functions, find the product function and the specified value. Let f(x) = x + 2 and g(x) = x - 10. Find (fg)(x) and (fg)(-5).

Solve the polynomial inequality algebraically. x^2-2x-8 ≤ 0

### Pre-Calc/Trig

What are the polynomial names for these functions. 1.) m(x)=x+x^2-1 2.) d(x)=x+ 3.14 3.) 2-6x^2+11x^3

### algebra

Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on...

### Math- polynomial functions

State the number of complex roots of each equation then find the roots. I cant figure out these two! 1. 3x - 5 =0 2. c^2 + 2c + 1 = 0

The polynomial 2x^3+px^2-x+6 has a remainder of zero when divided by x-2. Calculate p.

### polynomials and polynomial functions

Solve the equation 3z3 − 300z = 0.

### Precalculus

There is at least one polynomial with real functions with 9+i as its only nonreal zero. A. The statement is​ false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of degree n.   B.The statement is true. If 9 plus ...

### zeros of a polynomial

polynomial is x^3 - x^2 -11x + 15 If 3 is the zero of the polynomial, when you divide this polynomial with x-3, the remainder has to be 0? yes. If y=x^3 - x^2 -11x + 15, when y=0 the roots are on the axis.

### Math-Functions

1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function

### Functions

Explain how you can tell whether a polynomial equation is a function and not just a relation.

Someone please help me with this!!! Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some ...

### math

hi my name is hedi and i am in serious need with help with some math problems dealing with polynomials can some one please help me? Determine whether each expression is a polynomial. If it is a polynomial, state the degree of the polynomial. (This is the question) 1.5x^3+2xy6^...

### Math

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function? Explain your reasoning.

### Math

Can you check my work and tell me if I did anything wrong? 1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)? Answer: x^2 + 4x - 3 2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)? Answer: x^2 + x - 12 3. With the functions: f(x...

Multiply. 1) (3t^2 - 2t - 4) * (5t + 9) Writing. 1) Explain why the product of a quadratic polynomial and a linear polynomial must be a cubic polynomial.

### Calculus

We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...

### Functions in Math

Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.

### rational functions

If f(x) is a polynomial function, does 1/f(x) always have a horizontal asymptote? Explain why or why not and provide a counterexample if needed.

### Precalculus

Estimate the instanteous rate of change f(x) = x/(x+5) at (-3, -3/2) Could someone explain this question to me, this isn't exactly the same as polynomial functions >.<

### math help pls pls pls

Four polynomials are shown below: A. 2 − 2x5 + 2x2 B. 5x3 + 5 − 5x4 C. 3x + 2x5 D. 6x3 − 1 Which of the above polynomials is a 5th degree binomial? Polynomial A Polynomial B Polynomial C Polynomial D pls help me

### Math

consider the polynomial (x-a)(x-b)and the real number line Identify the points on the line where the polynomial is zero. In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which values does the polynomial possibly ...

### Graphing polynomial functions

Given f(x)= 4x^2=9x+2 and g(x)=3x-2, find and simplify the following: (f+g)(x) (fg)(x) (f-g)(3) I have a few other problems i need help with too so if you want to lend me a hand let me know.

### math

As^5.V(s)+Bs^4.V(s)+Cs^3.V(s)+Ds^2.V(s)+Es^1V(s)+F.V(s)=1, where V(s) is the transformed transient output voltage. Rearranging the 5th order transient polynomial equation above we have: V(s) = 1 / H(s) where H(s) is a polynomial is a polynomial in s to be determine. The values...

### Tim

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

### Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions a) f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

### Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions: f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

### Math: Polynomial inequalities

Show all work solve the Math: Polynomial inequality and express the solution in set notation. 2t^2 - 3 < or = to t

### math

1.binomial 2.degree of monomial 3.monomial 4.perfect-square trinomial 5.standard form of polynomial A.a polynomial with two terms B.a polynomial in which the terms decrease in degree from left to right and there are no like terms C.a polynomial whith two identical binomal ...

Determine the values of a M and N , so that the polynomial 2x^3+mx^2+nx-3 and X^3-3mx^2+2nx+4 are both divisible by x-2. I am so lost, i do not know how to start this problem! please help i have a test soon!

### Math

Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of...

1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...

### Math

What answers this definition: A polynomial, you would write the polynomial as a product of factors.

### Math

blank is a polynomial, you would write the polynomial as a product of factors?

### math

Find a polynomial with integer coefficients such that (sqrt3 + sqrt5) is a root of the polynomial

### math

Find a polynomial with integer coefficients such that (sqrt3 + sqrt5) is a root of the polynomial

### math

Consider the polynomial x^3 + 6x^2 + 3x - 10. Without dividing, or graphing, which two of (x+2), (x-2), (x+1), and (x-1) must be factors of the polynomial? Why/how do you know?

### math ( polynomial )

Identify each polynomial below as a monomial, bnomial, or trinomial and name the degree x2 - 25 x2 - 6x + 7 2x + 3y - 4

### math

Factor each polynomial, if possible. If the polynomial cannot be factored, write prime. 15b^2-24bf

### math-polynomial

the question was using the polynomial P(x)=x^2-4, evaluate P(-x) I did P(-x)=(-x)^2-4 (-x=2)(-x-2) Is this correct? Thanks for looking over my work.

### Math

Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of...

### Math

What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial

### Math

Then length of a rectangle is 5 less than 2 times the width, write a polynomial for the perimeter and a polynomial for the area.

### math

Factor each polynomial completely, if a polynomial is prime say so 9x^2+4y^2

### math

How is the range of a polynomial function related to the degree of the polynomial?

### math

Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: 0

### pre-calculus

find a bound on the real zeros of the polynomial functions. f(x)=x^4+7x^3-x-2 every real zero of f lies between - ? and ?

### graphing polynomial functions

How do i graph f(x)4x-x^3-x^5? How do I graph f(x)=x^5-4x^3-12x?

A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is also algebraic because it is a root...

### Math

Consider the polynomial f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### Math

What is a “real” zero? 1. A solution to a polynomial. 2. A non-imaginary number. 3.An x-intercept of a polynomial. 4. All of the above. The answer is 4, right?

### math

Look at this trinomial 32a^4 + 18a^3 - 12a Write the polynomial as the product of the GCF of all its terms and a polynomial PLEase explain thanks

### Calculus

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and ...

### algebra

p(x)=x^3+2x^2-3x+20 one of this functions zeros is -4 When using synthetic division to find all the zeros of a polynomial function, would you plug in 4 or -4 into the actual equation?

### Math

You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area _____________________________________ Among all pairs of numbers whose sum is 20...

### Math urgent

Find a degree 6 polynomial with - 8 as a root, no other roots, and in which the coefficient of x^6 is 16. Assume that all (non-constant) factors of the polynomial correspond to real zeroes.

### Math

The number of prisoners measured in thousands can be described by the polynomial -2.06x^2+77.85x+750. According to the polynomial, by how much did the prison population increase from 2002 to 2007?

### math test

Hi! I have a math test coming up tomorrow, and I need to prepare. but,i don't know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the new function ...

### Calculus

Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x If f = {(-2...

### math,correction

Can someone correct these for me please.. Find the value of the polynomial 8x – 6 when x = 1 and when x = –1. My answer: So when x = 1 the value of the polynomial is: 2And when x = -1 the value of the polynomial is: -14 Multiply. (x – 8)2 Answer: x^2-16x+16 You first ...

### Math ( Polynomial )

This time three questions - 1. If (x^2 - 1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2 - 5ax - 7 and x^ 3 + ax^2 - 12 x + 6 are divided by ( x + 1 ) and ( x - 2 ) ...

### Math ( Polynomial )

This time three questions - 1. If (x^2 - 1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2 - 5ax - 7 and x^ 3 + ax^2 - 12 x + 6 are divided by ( x + 1 ) and ( x - 2 ) ...

### Math

A polynomial function with a degree of 6 has the zeros of 𝑥 = 2 (order 2), 𝑥 = −1 (order 1) and 𝑥 = 5 (order 3). Write a general formula for a family of functions that share the same properties as this function. Please HELP!

### Algebra -polynomial

Solve the polynomial 40x^2+2x-65 Notice that for x = 1 the value is -23. The number 23 is a prime number and the only factors are thus 23 and 1 up to signs. So, you can simply the search for the factors of the polynomial a great deal by substituting: x = 1 + t which yields 40 ...