Find a polynomial ƒ that satisfies the following properties. (Hint: Determine the degree of ƒ; then substitute a polynomial of that degree and solve for its coefficients.) ƒ1ƒ1x22= 9x - 8

Q: Find a polynomial f(x) of degree 3 that has the following zeros. 0, 2, -6 Leave your answer in…

A: A polynomial will have α as a zero if and only if x-α is a factor of the polynomial.     For zeros…

Q: A degree five polynomial with a negative leading coefficient is called a _function and its right arm…

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Q: The degree of the polynomial function f(x) = x(x − 1)³(x + 1)² is a) 3 b) 4

A: Given function f(x)=x(x-1)3(x+1)2 We have to find its degree. Remember : Degree of a polynomial is…

Q: Graph the following polynomial function by hand then solve the equation and inequalities…

A: We have  p(x)=x3-x2-4x+4      =x-2x-1x+2 Graph of the function will be

Q: Use the graph to write the formula for a polynomial function of least degree f(x) = f(x) 2 -4 12 4…

A: From given graph  zeros x1=-2,x2=1,X3=3

Q: Use the graph to write the formula for a polynomial function of least degree. f(x) = %D f(x) O Save…

A: Find the x- intercept of graph: x-intercepts=-2,0, 2,0, -1,0Hence,x+2x-2x+1are the factor of given…

Q: Consider the polynomial equation of P(r) = 0 where P(x) = #* – a* – ² – a – - 2. - T (a) What are…

A: The given polynomial is Px=x4-x3-x2-x-2.

Q: Pls help ASAP

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Q: How do I calculate step by step the y-intercept of the following factored polynomial equation?…

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Q: 1. For the quadratic function given below, find: f(x) = -2x²-x+6

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Q: 2. Solve the zeroes or roots of the following polynomial functions. Show your complete solutions. a)…

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Q: Match each graph of a polynomial function with the corresponding equation. Justify your choice. a)…

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Q: f(x) = -x2 - 4x + 12 %3D 12 8-4 0Y

A: Given:- f(x)=-x2-4x+12 To find:- Use the factoring to graph the given quadratic functions

Q: polynomial f(x) has 3 intercepts, which of the following most accurately describes the degree of…

A: Ans.   Given that the polynomial f(x) has 3 intercept it has at least 3 real rootsTherefore the…

Q: Use the graph of f(x) below, and the fact that a? – 3x + 3 is a factor of f(x), to find the equation…

A: NOTE: Refresh your page if you can't see any equations. . the given factor is  and as we can see…

Q: find the remainder R when f(x) is divided by g(x). Is g a factor of f?

A: fx=12x6-8x4+1    at  x=4

Q: 6) Write the equation of a polynomial function, in standard form, that has the roots of: - 2 and 5+…

A: In this question we need to find a polynomial equation in standard form.

Q: Determine the least possible degree of the polynomial function shown. y 3- 2 -5 4 -3 -2 -1 1 2 3 -3-…

A: Graphically, number of real roots of the equation is equal to the number of places where graph cuts…

Q: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

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Q: A 4th degree polynomial, has the following zeros -2, -V2, v2 and 3, with leading coefficient 4. What…

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Q: Given the polynomial function  H(x)=1/2(x-1)^2(x+1)(x-2) write all intercepts as ordered pairs…

A: To calculate the all intercepts in ordered pair including the end behaviour and H if the provided…

Q: Determine the least possible degree of the polynomial function shown. y -5 -3 -2 1 2 4 5 -2- 3 3. 2.…

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Q: Find the formula for the graph above, given that it is a polynomial, that all zeros of the…

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Q: p(x) = x(x+1)* (x – 1X(3 – x)

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Q: Find the remainder R when is divided by .Is g a factor of f?

A: Given,

Q: Based on the degree of the polynomial f(x) given below, what is the maximum number of turning points…

A: Result:

Q: Find the degree and leading coefficient of the polynomial. f(x) = x* – 32 – a? – x Degree =| Leading…

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Q: Find the roots of the polynomial: f(x) = xª + 5x² – 36.

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Q: If a and ß are the zeros of the quadratic polynomial f (x) = kx² + 4x + 4 such that a“ + B² =…

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Q: If the zeroes of the quadratic polynomial x2 +(a+1) x+b are 2 and -3 then find a and b

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Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

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Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

A: Given,           The polunomial is fx=-6x7+5x4-x6+2.

Q: A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the…

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Q: The graph of a 4th-degree polynomial is shown. F3 r4 7 Exactly how many real zeros does this…

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Q: Find values of a, b, and c such that the graph of the polynomial p(x) = ax²+bx+c passes through the…

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Q: Consider the polynomial function y = x³ – 3x2. Which of the following statements is not correct? A.…

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Q: If 1 is  a zero of the polynomial  p(x) = ax2 - 3 (a - 1 )x - 1 , then Find the value of a

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Q: find the value of the parameter m so that the remainder of the division of the polynomial P (x) =…

A: Solution: We have to find the value of m so that the remainder is -66 when Px=3x3-mx2+5x-6 is…

Q: Find the polynomial of the specified degree whose graph is shown. Degree 4 P(x) = y 7- 2 1 -3 -2 -1…

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Q: Use Excelto solve this problem. Find the polynomial of degree three for the following data. Also…

A: The general polynomial of degree 3 is P(x)=ax3+bx2+cx+d. The trendline menu is used to establish a…

Q: Graph the following polynomial function by hand. Then solve the equation and inequalities 4 P(x) =…

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Q: Graph the following polynomial function by hand. Then solve the equation and inequalities.…

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Q: The polynomial function q(x) = 3x + 11x2 - 14x- 40 has a known factor of (3x+5). Rewrite g(x) as the…

A: Given, polynomial function qx=3x3+11x2−14x−40 and known factor 3x+5 To write: qx as the product of…

Q: Given the polynomial function y = (x + 5)(x + 3)(x - 2)( x - 4), what values of x can you use to…

A: Solution is here

Q: Consider the polynomial function P(x) = x* – 3x³ + ax² – 6x + 14, where a is an unknown real number.…

A: Given, Px = x4-3x3+ax2-6x+14    a is an unknown real number . x-2 is a factor of the polynomial. We…

Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

A: To check whether a given quadratic equation can be factorized, we first need to check the…

Q: Determine the polynomial y(x) that has roots at x= -0.7, x=0.5, x = 3.4, and x = 5.8. Make a plot of…

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Q: Find the degree, leading coefficient, and the constant term of the polynomial. f(x)=3x+2x^5+6+4x^4…

A: Degree is the sum of the exponents on all terms. Leading Coefficient is just the term multiplying…

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. -2, 3, -6…

A: The zeros of a third degree polynomial are -2, 3, -6. Therefore the factors of the polynomial are…

Q: Find the polynomial of the specified degree whose graph is shown. Degree 4 P(x) = y 6F 5 4 2 1 + x…

A: It has zeros at x=-1 and x=2. So, it includes x+1 and x-2.

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.