Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept of -36 Positive Leading Coefficient

Q: Find a 3^rd degree polynomial with zeros at -2,0, and 2 that goes through the point (-4,16)

A: Given that: A polynomial has zeroes as -2, 0, 2 and passes through (-4, 16).

Q: Determine an equation in fortored form for a polynomial function with zeros x=-3 (order 2) and x = 2…

A: We have to determine an equation in factored form for a polynomial function with zeros: x=-3 order 2…

Q: 3. Express as a polynomial. Arrange your answer from term with highest degree to lowers degree *…

A: 3. (3x3+4x2-7x+1)+(9x3-4x2-6x) open all the brackets =3x3+4x2-7x+1+9x3-4x2-6x rewrite or arrange…

Q: A polynomial function with leading term 2x to the power of 3 has a degree

A: We know that a polynomial with highest degree is the leading term.

Q: Give a polynomial equation with integral coefficients that has the following roots. 3, -1, 1

A:

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -1,…

A: Given: Find a polynomial of the specified degree that satisfies the given conditions.Degree 4; zeros…

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

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: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

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

A:

Q: Every polynomial equation of the nth degree has n real roots Select one: True False

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ind a polynomial p(x) with zeros as -2,-3,1,3 ?

A: To find a polynomial p(x) with zeros as -2,-3,1,3

Q: FIND A POLYNOMIAL OF DEGREE 4 WITH 3 AS A ZERO OF MULTIPLICITY 2,-4,AND 6 AS ZEROS OF MULTIPLICITY…

A: If a polynomial function, f(x) has roots or zeroes of r1, r2, r3,r4 then the polynomial function can…

Q: Find the equation of the polynomial with roots (–√3, 0) and (7i, 0), real coefficients, and passing…

A: Step I :   Given :   Roots : -3 , 0 & 7i , 0and passing through the point 1 , 200Find the…

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: Form a polynomial with zeros: -6, multiplicity 1; 2 multiplicity 2; degree 3

A:

Q: Find a formula for the polynomial of least degree that is graphed below

A:

Q: Find a polynomial of the specified degree that has the given zeros. Degree 3; zeros -1, 1, 3

A: Given, Degree = 3 Zeroes = -1, 1, 3

Q: Find the polynomial function with -1 as a zero of multiplicity 2, 1of multiplicity 2, and going…

A: If the root x=a has a multiplicity of n then one of the factor of function is (x-a)n.

Q: Form the polynomial equation with integral coefficients whose only roots are given. 3,4,2

A: if a is the root of the polynomial then (x-a) will be the factor of the polynomial  And we can write…

Q: Find a polynomial of the specified degree that has the gi Degree 4; zeros -2, 0, 2, 4

A:

Q: find the polynomial function with the given zeros whose graph passes through the given point.…

A:

Q: find the polynomial function with the given zeros whose graph passes through the given point…

A: A polynomial in a variable x is a function of the form f(x)=anxn+an-1xn-1+···+a1x+a0. A point x=a is…

Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

Q: Find a polynomial function of degree three with numbers 3, 5, -2 as zeros of the polynomial.

A: Calculation:

Q: Form a polynomial equation with integral coefficients whose only roots are given 1/2,square root of…

A: To find the polynomial for given roots Roots are 1/2, √2 and - √2

Q: 9.)-2, 5 -3.2 3

A: Since you have posted a multiple question according to guildlines I will solve first question (i.e…

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: Find a polynomial of the specified degree that has the given zeros. Degree 5; zeros -2, -1, 0, 1, 2

A: If a polynomial P(x) whose degree n having zeros x1, x2, ..., xn then the polynomial is…

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: find a degree 3 polynomial having zeros 7, -3, and -8 and leading coefficient equal to 1.

A:

Q: find a degree 3 polynomial having zeros 3,-7, and 4 and leading coefficient equal to 1.

A: Given: A degree 3 polynomial having zeros 3, -7 and 4 and leading coefficient equal to 1.

Q: Find a polynomial function of degree 4 with the zeros - 1 (multiplicity 2) and 1 multiplelty , whose…

A: Given that , a polynomial function of degree 4 with the zeros-1 multiplying 2 and 1multiplying 2…

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 5; zeros -2,…

A: Roots of a polynomial or zeros of a polynomial are obtained by equating the polynomial to 0 and…

Q: find a degree 3 polynomial with zeros -2,1, and 5 and going through the point (0,-3)

A: Assume a polynomial and use the given point.

Q: Give one example of a polynomial of degree 3 that has a zero -6 with multiplicity 2

A: Consider the polynomial of degree 3, fx=x3+11x2+24x-36 At x=-6,…

Q: Find a polynomial degree 3 with constant term 96 and zeros 3 and 4 (multiplicity by 2)

A: Let Px be a polynomial of degree 3 with constant term 96 and zeros 3 and 4 (multiplicity  2). A…

Q: Write a polynomial function with the roots/zeros: 0 (with multiplicity 3), -1/2, 3/4, 7i√2, and…

A:

Q: Find a polynomial of degree 3 that has zeros 5, -5, and 8

A: Given :To determine the polynomial ofdegree 3 has zeros 5,-5 and 8.

Q: Form a polynomial equation with integral coefficients whose only roots are given. 1/2,-2/3,1/3

A: Let P(x) be the polynomial whose roots are X1 = ½ , X2 = -2/3 & X3 = 1/3

Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -1, 1, 3, 5

A: The objective is to find a polynomial having Degree 4 and zeros -1, 1, 3, 5.   By factor theorem,…

Q: Find a forth degree polynomial that has the zeros 3, -2, i.

A: Explanation and Solution is given below....

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

A: zeros are  -3,-1, and 4.So factors are (x+3), (x+1) and (x-4). [when x=k is a zero then (x-k) is a…

Q: Determine an equation of a polynomialwith a degree of 4, zeros located at (4,0) and (3,0) and a…

A: Given, about polynomial Degree=4 zeros =(4,0), (3,0) y intercept = (0,96)

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: Write a polynomial o fminimum degree in standard form with real coefficient whose zeros include 4,…

A:

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

A: Use the definition of irreducible polynomial and property of ring Z_5[x].