5) Write a rule for the 6th degree polynomial 8(x) pictured at right, whose only roots are -5, -2, and 3, and whose y-intercept is -5. 1 -9 -8 -7 -6 -5 -4 -3 - -1 1 2/ 3 4 5 6 7 8 -1 -2 -3 -4 -6

Q: Find a polynomial function with real coefficients that has the given zeros.

A: The given zeros are -52, -5, 1+3i

Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)>0 when…

Q: 13. Sketch a graph for a polynomial that is degree 4 with 3 x intercepts and a positive leading…

A:

Q: Sketch a graph of a degree 5 polynomial with 5 real zeros and a negative leading coefficient

A: Step 1: Let us consider a polynomial function of 5 degree with 5 real zeros and negitive leading…

Q: 10. Write a third-degree polynomial f(x) with integer coefficients and zeros of 5, -, and 4.

A: Let the polynomial is  fx=αx-15x--23x-4=αx-15x+23x-4=α5x-153x+22x-4 Coefficient will be integer if α…

Q: Find the polynomial of the lowest possible degree which assumes the values 3, 12, 15, 21 when x has.…

A:

Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: Find a polynomial function of degree 4 with -3 as a zero of multiplicity 3 and 0 as a zero of…

A:

Q: Roots of 1, 2, -4 y-in

A: Polynomial: We need to find a polynomial whose degree is even. Roots are 1,2,-4 y=intercept is -36…

Q: A certain polynomial has a root with a multiplicity of 3. What does this tell you about the behavior…

A: Given: A certain polynomial has a root with a multiplicity of 3.

Q: Find a polynomial with -3, 0, 4 as zeros, and of degree 3.

A:

Q: Express the polynomial x3 + 2x+3 EZ-[x]as a product of irreducible polynomials of 75[x].

A:

Q: 1) Sketch a cubic polynomial whose zeros are -1, 2, and 9

A:

Q: Find a polynomial of degree 3 that has zeros x = 5 and x = 3i .

A:

Q: Sketch the graph of a fifth-degree polynomial function whose leading coefficient is positive and…

A: Consider the provided information, The zeros at x=3 of multiplicity 2. That is x-32 The standard…

Q: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 2i as zeros.…

A: We know that "If the polynomial has only real coefficients, then any complex roots must occur in…

Q: f is a polynomial function of degree 4 whose coefficients are real numbers; two of its zeros are - 3…

A: Consider the provided information, If the polynomial fx with real coefficients and have complex zero…

Q: Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept…

A: Given that:                    A polynomial with:   Even Degree   Roots of 1, 2, -3   y-intercept of…

Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

A:

Q: The fourth-degree polynomial f (x) = 230x* + 18x³ + 9x² – 221x – 9 has two real zeros, one in [-1,…

A: Iteration formula for secant method is:  xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

Q: Explain why a polynomial with real coefficients of degree 3 must have at least one real zero.

A: Given, A 3rd degree polynomial with real coefficients. Since the given polynomial is of degree 3,…

Q: Select the factors that multiply to create a polynomial with this description: (1) As x→-0, y→-∞ (2)…

A: Given x→-∞ and y→-∞ and x→∞ and y→∞ and x=4 is a root

Q: Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the…

A: Surd zeros are always in pairs. That is a+b is zero then a-b is also a zero of the polynomial.…

Q: Find the polynomial with thats has degree 3 and Zeros 2,-1 and 3

A: To find the polynomial with thats has degree 3 and Zeros 2, -1 and 3.

Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1,4 for which f(-2) =18

A:

Q: The fourth-degree polynomial f (x) = 230x4 + 18x³ + 9x² – 221x 9. - - has two real zeros, one in…

A: The given polynomial is - f(x)=230x4+18x3+9x2-221x-9 It is also given that the given function has…

Q: Find a degree 3 polynomial having zeros -5, 2 and 8 and the coefficient of x3 equal 1

A: By the factor theorem, the required polynomial have factor(x+5),(x-2) and (x-8)   Therefore the…

Q: Find a Polynomial with integer Coeffcients that Conditions. given Satisfies 'Ithe P has degree 3 and…

A: Given, Polynomial has degree 3 and zeros 5 and i

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3,0 as a zero of…

A: When zeros of a polynomial is given that to derive the polynomial just multiply the factor for the…

Q: Give one example of a polynomial of degree 4 that has a zero at x = 5 with multiplicity 2. (There is…

A: Given: The given degree for the polynomial is 4. the given zero of the polynomial is x=5.…

Q: - Find The polynomial of degree 7 which has only the following zeros: 2( multiplicity 4), 4(…

A: Given: Degree of polynomial is 7. The given zeros of the polynomial are, 2 with multiplicity 4 can…

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = 4 and x =-5.

A: It is given that, degree n=2 and the zeros are x=4 and x=-5 We have to find formula for a polynomial…

Q: Suppose that a polynomial function of degree 4 with rational coefficients has the given numbers as…

A: It is mentioned that the function is a polynomial of 4th degree. It means there will be 4 roots of…

Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A:

Q: Polynomial of lowest degree with zeros of -2 (multiplicity 2) and 3 (multiplicity 2) and with f (0)…

A:

Q: 1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes…

A:

Q: does there exist a polynomial of degree 3 with real coefficients that has zeros 1, -1, and i?

A: Consider the given roots. 1,-1, i and -i for complex roots. Now, make the polynomial.…

Q: If the leading coefficient of an odd-degree polynomial function is positive, then the function…

A:

Q: Suppose a polynomial function of degree 5 with rational coefficients has the given numbers as zeros.…

A:

Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Q: Find a 5th degree polynomial with zeros x = 3 + 2i, 1 − squareroot2, and −1 with a co-efficient of 4…

A:

Q: Find a polynomial of degree 4 with integer coefficients that has -2 as its only real zero and (1/3)i…

A: A polynomial of degree 4 with integer coefficients that has -2 as its only real zero. Which implies…

Q: Give one example of a polynomial of degree that has a zero at x=5 with multiplicity 2

A: zero at x=5 with multiplicity 2

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Given  zeros of polynomial x= -1 and x= 4

Q: Suppose that a polynomial function of degree 4 with rational coèfficients has -2 +51, 5-5 as zeros.…

A: Complex root :  The complex conjugate of a complex zero must also be a zero . So if you have any…