Construct a polynomial with the following properties: Degree of 5 -2 is the zero of multiplicity 1 5 is the only other zero The leading coefficient is 3

Q: A polynomial with one terms is called A polynomial with three terms is called monomial binomial A…

A: A polynomial consists of two or more monomials. Polynomials can be binomial, trinomial etc.

Q: Terms of a polynomial that contain the same variables raised to the same powers are called terms.

A: To fill the blank given in the statement.  Terms of a polynomial that contain the same variables…

Q: It is possible for an even degree polynomial with real coefficients to have only one x-intercept.…

A: It is possible for an even-degree polynomial with real coefficients to have only one x-intercept.…

Q: It is possible for an odd degree polynomial with real coefficients to have all non-real zeros.…

A:

Q: Write a polynomial f(x) of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2),…

A: Given, polynomial f(x) is of degree 5, with integer coefficients, and with zeros -2 (multiplicity…

Q: Write the polynomial z - 2r3 -1 as product of distinct poly- nomials of degree 1 and 2.

A:

Q: Write a polynomial f(x) that meets the given conditions Degree 4 polynomial with zeros 4, 7/2 (each…

A:

Q: Construct a polynomial function with the following properties: fifth degree, 3 is a zero of…

A: Given information :- Construct a polynomial function with the following properties fifth degree, 3…

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

A:

Q: Write a polynomial  fx  that satisfies the given conditions. Degree  3  polynomial with integer…

A: Solution:- polynomial of degree 3 ⇒highest power of polynomial is 3 and zeros are  x=8iand x=95

Q: The leading _____of a polynomial is the numerical factor of the leading term

A: Fill in the blank: The leading _____of a polynomial is the numerical factor of the leading term.

Q: Create a polynomial that has the following characteristics: Has a zero of c = 0, with a multiplicity…

A: Leading term of a polynomial is the term with the highest power of x. For example: f(x)=2x3 +2x+4…

Q: If a third degree polynomial has a lone x-intercept at x=a, discuss what this about the linear and…

A:

Q: Find a polynomial with real coefficients, degree 3, and zeros 3 − 2? and −2. Give both the factored…

A: Given, degree=3 zeros are 3,-2, and -2.

Q: Form a polynomial whose zeros and degree are given.   ​Zeros: −4​, 4​, 9​; ​ degree: 3

A: WE need to form a polynomial where Zeros: −4​, 4​, 9​, and degree: 3. As zeros are −4​, 4​, 9, the…

Q: Write the resulting polynomial in standard form and indicate its degree. (13x4 - 8x3 + 2x2) - (5x4 -…

A:

Q: 22 (a) Identify the location of all the zeros of the polynomial graphed below. (b) Determine if the…

A:

Q: determine if the statement is true or false. If a statement is false, explain whyThe product of two…

A: Statement: The product of two polynomials each of degree 4 will be less than degree 8.

Q: 1. How do you know that the given polynomial is divisible or not? 2. How will you prove that the…

A: Given: A polynomial f(x) To check: 1) Whether the polynomial is divisible or not.

Q: Write a polynomial f(x) of degree 3 that has the zeros 2" * V6, and - V6.

A: fx is a polynomial of degree 3 that has zeros 12, 6 and -6. The factors are 2x-1,  x-6  &  x+6.

Q: Find a polynomial with integer coefficients that has 1/2 and -1/3 aszeros.

A: Since the required polynomial is to have two zeroes, it's degree should be 2 i.e. It should be a…

Q: Consider the polunomial 2x5 + 6x4 + 4x3.

A: the given polynomial is: 2x5+6x4+4x3 we have to determine how many terms does this polynomial have…

Q: Find the zeros of the given polynomial and their respective multiplicity. P(x) 2x (x + 5) (x - 7)*…

A:

Q: Consider the polynomial given below. P(x) = (x − 1)(x − 3)(x − 2)(x − 3)   what is the leading…

A: The given polynomial is,

Q: Graph the polynomial by transforming an appropriate graph of teh form y = xn. Show clearly all x-…

A: Given polynomial is, Px=81-x-34. The graph of given function is obtained by first graph the Px=x4…

Q: find a polynomial with the following conditions  p(x)=a(x-r1)(x-r2)(x-r3) zeros:-1,1,3 degree: 3…

A:

Q: Find a polynomial (fx) of degree 3 that has the following zeros. -4, (multiplicity 2), 3 Leave…

A:

Q: Write a polynomial in standard form axn+bxn−1+… given the following requirements. Degree: 4, Zeros…

A: To find the polynomial

Q: Find a polynomial (fx) of degree 4 that has the following zeros. 5 (multiplicity) ,  0, −4 Leave…

A:

Q: Write a polynomial (x) that satisfies the given conditions. Express the polynomial with the lowest…

A:

Q: Use Descrates's Rule of Signs to determine how many positive and how many negative real zeros the…

A: Using Descartes' rule of signs, determine the possible number of positive and negative real zerosof…

Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

Q: Suppose you are asked to construct a polynomial with -3, 1, and 5 as roots. There are an infinite…

A:

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A:

Q: Sketch a polynomial with the following properties. Degree: 6 Sign of leading coefficient: Positive…

A: Topic = Polynomials

Q: Write the standard form of the 5th degree polynomial with zeros x = 2 (multiplicity 2), x = 3i, and…

A:

Q: Write a polynomial that satisfies the given conditions. Express the polynomial with the lowest…

A:

Q: Write the resulting polynomial in standard form and indicate its degree. (-6x3 + 7x2 - 9x + 3) +…

A:

Q: 82. There is exactly one polynomial with integer coefficients with zeros of 2, 4, and 6.

A: There is exactly one polynomial with integer coefficients with zeros of 2, 4 and 6.

Q: Construct a polynomial with Z coefficents with a root of the given C 2+ V7 (d) 3 (e) V3+ v2

A:

Q: Find a polynomial  fx  of degree  4  that has the following zeros. −4 ,   0 ,   −8 ,   7 Leave…

A:

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A:

Q: Find a quadratic polynomial whose sum and product respectively of the zeroes are as given  also…

A:

Q: Determine the third order polynomial below which has the following cartesian confitates (-1,-16),…

A:

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

A:

Q: Form a polynomial (fx) with real coefficients having the given degree and zeros.   Degree​4…

A: The zeros of the polynomial f(x) is 2, -2+3i and the zero 2 has multiplicity 2. Remember that…

Q: determine if the statement is true or false. If a statement is false, explain whyThe sum of two…

A: Given:The sum of two polynomials each of degree 5 will be less thanor equal to degree 5

Polynomials

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