Use synthetic division to each by the given factor and write your solution in factored form. Identify x and y intercepts and end behavior. Sketch a graph of the original polynomial function.

Q: Write an equation for the polynomial graphed below 5+ 4- 3+ 2 3 4 y(x) = 2. 31

A: We need to find multiplicity of zero to find equation from given graph

Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function.f(x) = 12x3 +…

A: fx=12x3+4x

Q: Graph the polynomial function. Factor first if the expression is not in factored form.   f left…

A: For cubic polynomial first factor can be find out by inspection method. Then polynomial will be…

Q: Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots

A: We need to give an example and explain why a polynomial can have fewer x-intercepts than its number…

Q: Find the x-intercepts of each polynomial equation f(x) = (-x + 14)(-x – 12)(x – 2)

A: The x-intercepts of a polynomial f(x) are those values of x at which f(x)=0

Q: Determine whether the function is a polynomial function. If it​ is, identify the degree.…

A: Given  : f(x)=7x7+6x6   To check : f(x) is a polynomial function or not & if it is then degree…

Q: Find a polynomial `P(x)`whose graph is shown above.   You may leave your polynomial in factored…

A: We have

Q: Determine whether the function is a polynomial function. If it​ is, identify the degree.…

A: Here we have to determine whether the function is a polynomial function. h(x)=5x4+3x3+4x…

Q: Can the graph of a polynomial function have no y-intercept?Can it have no x-intercepts? Explain.

A: The graph of a polynomial function must have y-intercept. Because the domain of polynomial functions…

Q: Write an equation for the polynomial graphed below 2 -5 -4 2 -1 i 2 3 4 5 -2 -3 -4 у(х) -

A:

Q: Write an equation for the polynomial graphed below 5+ 4+ 3, 2+ -5 4-3 -2 -1 -1 4 5 -2 -3 -4 -54 y(x)…

A: Given query is to find the equation of the polynomial.

Q: Graph a polynomial that has 3 zeroes and 4 turning points

A: Let's find.

Q: 2

A: solution is given below

Q: Write an equation for the polynomial graphed below 6 + 5+ 3 4 5 5+ y(x) = -2 -1 Check Answer 4 3 + 2…

A: To Determine: The equation of the polynomial graphed in the given image.

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. -2…

A: We have given with graph of polynomial function say f(x) and from this graph we have to find   the…

Q: Write an equation for the polynomial graphed below 4. 1 -5 14 2 4 5 -2 + -3 - -4 y(x) = Preview 3)…

A: We have to write a polynomial function yx=a0+a1x+a2x2+…+anxn using the given graph. For this, first…

Q: Graph the following polynomial and write it in factored form. f(x) = x + 2x2 – 16x – 32 || Plot…

A:

Q: Write an equation for the polynomial graphed below 5+ 2+ -3-2 -1 -1 2 \3 4 -5 -2 -3 + -4+ -5+ y(x) =…

A:

Q: Determine if the following is a polynomial function and state its degree.  Write the polynomial in…

A:

Q: 4) y=x+2x- 9x- 18; x-3

A:

Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function.h(x) = 1 −…

A: Given: h(x)=1-0.5x5-2.7x3

Q: What is the factorization of the polynomial graphed below? Assume it has no constant factor. Write…

A: The factorization of any function used to find the root of that function.   The roots or zeros of…

Q: Write an equation for the polynomial graphed below 5+ 3+ 1- -5 4 -3 -2 -1 1 /2 3 4 5 -3 -4 -5+ y(x)…

A:

Q: Rewrite as a polynomial plus a smaller rational function... 3x2 + 4x – 72 I - 5

A: A detailed solution is given below.

Q: Find the equation of the polynomial function, in linear factored form, whose graph is given

A: here we use this graph : in x-axis points are (-2,0),(1,0) and, in y-axis (0,2)

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5 3.…

A: Given the graph for a polynomial function.We need to write the polynomial function for the above…

Q: make your own polynomial equation then graph it

A:

Q: Perform synthetic division to divide the function f(x) = x^3+2x^2-7x-24 by -3. Then, state the…

A: Topic- division of polynomial

Q: 6) y=x"-13x+36; x+3 and x-3

A:

Q: Choose the end behavior of the graph of each polynomial function. (a) ƒ(x) = 4x² + 4x² + 5x − 3…

A: NOTE: Refresh your page if you can't see any equations. . here leading coefficient is 4 which is…

Q: Write an equation for the polynomial graphed below y(x) = N w 2 N

A: Here X intercept of the polynomial is x=-2, x=-1, x=1,x=3 and graph just touch x axis at x=1 and…

Q: Graph the polynomial P(x) =-(x + 2)^ 3 + 27, showing clearly all x- and y-intercepts.

A: the given polynomial is: P(x)=-x+23+27 we have to graph the given polynomial showing clearly all x…

Q: 5) y =x'-4x-7x + 10; x+2

A:

Q: Write an equation for the polynomial graphed below 6+ 5 2 1 -5 -4 -B 1 2 3 4 -4 -5 -6+ y(x) =

A: Clearly the graph is having three roots  i.e.  Equation of this graph is having three roots at x =…

Q: Use the graph to determine the equation of the function in factored form. 20

A: The given graph is:

Q: Write an equation for the polynomial graphed below 4 -5 -4 -3 -2 -1 1 3 4 5 -2 -3 -4 -5 y(x) =

A: First guess all the zeroes of the given curve and than write the equation with the help of zeros.

Q: Find the zeros for the polynomial function and give the multiplicity for each zero at each zero.…

A: We will factor f(x) using the factor by grouping

Q: Determine the degree, leading coefficient and end behavior (without graphing) for each polynomial.…

A:

Q: What is the cubic polynomial function with zeros 3, 3, and -3? write a linear factor for each zero.…

A:

Q: 3) y=x'-6x + 3x + 10; x- 2 13.

A:

Q: Write an equation for the polynomial graphed below 4+ 2+ 2. -1 -3. -4- -5- y(x) = 2.

A:

Q: Write an equation for the polynomial graphed below 4 -5 4 3-2 123 4 5 -51 y(x) 5. 3.

A:

Q: Graph the polynomial function. Factor first if the expression is not in factored form. f(x) = -…

A:

Q: Graph the polynomial function. Factor first if the expression is not in factored form. f(x) = x° +7x…

A: Given, f(x)=x3+7x2+7x-15

Q: Find the roots of the function x^2-6x-16 by factoring

A: Given: x^2-6x-16

Q: Graph the polynomial given below by first selecting the number fo points that you will need, then…

A: We can find the required points, x-intercepts, y-intercepts and graph the polynomial as below

Q: 1 1 x3 + v4x 8 6

A:

Q: a) Use synthetic division to divide each by the given factor and write your solution in factored…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.