What is the degree of a polynomial equation? What are polynomial equations of degree 1 and degree 2, respectively, called?

Q: How many zeros can a quadratic function have?

A: We have seen that a quadratic polynomial is of the form: fx=ax2+bx+c ,a≠0 We assume that a, b and c…

Q: Find the polynomial equation whose zeros are 2 of multiplicity 2, 1 and -2

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Q: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: Suppose is a root of a polynomial equation. What does this tell us about the leading coefficient and…

A: Consider an example of a quadratic equation. The quadratic equation with the roots α and βis written…

Q: How can you quickly determine the number of roots a polynomial will have by looking at the equation?

A: To determine the number of roots of a polynomial

Q: must every polynomial equation with real coefficients of degree 3 have at least one real root? Why

A: Recall: Fundamental theorem of Algebra: Any polynomial of degree n with real coefficient has n…

Q: find the quadratic polynomial whose zeores are (I) 3,-4 (ii) 2,1

A: Given problem is : find the quadratic polynomial whose zeroes are (I) 3,-4 (ii) 2,1

Q: Describe how to use Descartes’s Rule of Signs to determine the possible number of negative roots of…

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Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: Find a degree 4 polynomial having zeros -8, -2, 4 and 8 and the coefficient of æ4 equal 1. The…

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Q: Find a fourth degree polynomial that has zeros of 3,-3,i

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Q: 1.How do you find the polynomial if roots is given?

A: Polynomial corresponding to the roots

Q: Determine the maximum number of real roots and possible real roots of the following polynomial…

A: We know that, a polynomial equation of degree n has maximum n roots.  If a+ib is a root of a…

Q: Determine whether the statement is true or false, "Every polynomial equation of degree 3 with real…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the polynomial equation that has 2, -1, and -2 as roots

A: Given roots of the polynomial equation- x=2, -1, -2 Factors for the polynomial equation will be…

Q: True or False: If 2 is a root of a polynomial equation, then (x – 2) is a factor of the polynomial.

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Q: I have a question about roots. How quickly can you determine the number of roots a polynomial will…

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Q: 2. Solve the polynomial equation for all zeros. x4 + 5x2 =z?

A: Simplify the polynomial equation x4 + 5x2 = x3 as follows.

Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: Explain in in words how to solve the 2 question 1) If a third-degree polynomial has a lone…

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Q: Find a 6th-degree polynomial with a negative leading coefficient that has roots x= 1- (square root…

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Q: a degree 4 polynomial having zeros -6, -4, 3 and 8 and the coefficient of x^4 equals 1 The…

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Q: In Problem, form a polynomial function whose real zeros and degree are given.Answers will vary…

A: It is known that if r is a zero of the polynomial function then x-r is a factor. Given that -3, 0…

Q: What are the real or imaginary solutions of the polynomial equation?

A: If the solutions of the polynomial is from the real number set, then then the solution of the…

Q: Calculate the real values of x and y such that (x + y)° is bigger than 8. hinh ai is a solution of…

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

Q: I need help with polynomials. How quickly determine the number of roots a polynomial will have by…

A: Let suppose we have linear equation  x + 2 =0 Look at the leading term ,it has only one power , then…

Q: 5. Write a polynomial equation with the zeros 5, -6, and-1 multiplicity 2.

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Q: The ____ term of a polynomial is the term of highest degree

A: Given: The _____ term of a polynomial is the term of highest degree

Q: I need to find a degree 3 polynomial having zeros -5, 1 and 6 and the coefficient of x3x3 equal 1.…

A: Given query is to find the polynomial.

Q: Find a fourth degree polynomial that has zeros of 1, -3, 2i.

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Q: What are three real-world polynomial applications and how do they impact society?

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Q: Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through…

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Q: 4) -3, -4, 5 ansurer -2 -3 3 answer 6) - answer .

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Q: Every polynomial equation of degree n has n distinct solutions.Determine whether the statement is…

A: Statement : Every polynomial equation of degree n has n distinct solutions. The above statement is…

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…

Q: Find the quadratic polynomial whose graph goes through the points (-2,8), (0, 6), and (1, 11). f(x)…

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Q: Find a polynomial equation with real coefficients that has the given roots. 0,-4,9

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Q: How many turns would be there in the polynomial function of degree 3?

A: Concept: Various graph of diffrent polynomials is explained below:

Q: Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.

Q: Write a polynomial equation with integer coefficients and leading coefficient equal 1 whose zeros…

A: We have to find

Q: Fnd the equation of third degree polynomial whose zeroes are 6,7,10

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Q: Find the quadratic polynomial whose graph goes through the points (-1, 3), (0, 1), and (1,7). f(x) =

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Q: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a…

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

Q: A triangle has sides 2x -5, 3x+1 and 4x+2 . Find the polynomial that represents its perimeter.

A: We have been given that a triangle has three sides as (2x-5), (3x+1) and (4x+2) and we are supposed…

Q: Find the general polynomial function of lowest possible degree with real number coefficients that…

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Q: 2. Determine the exact real roots for the polynomial equations. a) 8x¹ + x = 0 b) x³ = 5x - 4

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Q: What is the equation of this degree 6 polynomial function?

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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