Suppose is a root of a polynomial equation. What does this tell us about the leading coefficient and the constant term in the equation?

Q: Given that (x+1) is a FACTOR of the polynomial, find all the ROOTS of the polynomial

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Q: Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1,…

A: Given that real coefficient, a lead coefficient of polynomial is 1 That is K=1

Q: A projectile is fired from ground level such that its height, h, as a function of time, 1, is given…

A: Given  h=-16t2+80t We have to write this equation in factored form.

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

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Q: Find a polynomial (fx) of degree 5 that has the following zeros. -9, 4, 6, -7, 3 Leave your answer…

A: Find a polynomial f(x) of degree 5 that has the following zeros. -9, 4, 6, -7, 3 Leave your answer…

Q: Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots

A: We need to give an example and explain why a polynomial can have fewer x-intercepts than its number…

Q: If a fifth-degree polynomial is divided by a second-degree polynomial, the quotient is a -degree…

A: Given

Q: Find a possible equation for the polynomial whose graph is given

A: The x-intercepts of the graph are x=-2,x=-1,x=1,x=3 Therefore, the factors of the polynomial are…

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: Write the rule of the quartic (degree 4) polynomial with roots -4, -1, 2, and 3, and у-intercept 30.

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Q: A + 5x3 - x2 - 50x – 90 = 0 if 2 - 10 is one of the factors. Be sure to discuss real and complex…

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

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Q: If x = -1 is a root of the polynomial 0 = x3 + 4x? + 2x – 1, what are the remaining roots? -3+V13 x…

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Q: determine the roots and the end behavior of the polynomial f(x) = (x-2)2 (x-1) be sure to explain…

A: We have to determine the roots and the end behavior of the polynomial  f(x) = (x - 2)2 (x - 1)

Q: Find the roots of the polynomial: f(x) = x4 + 4x2 – 32.

A: We have to find the roots of polynomial: fx=x4+4x2-32 To find the roots of given polynomial we need…

Q: Write an eighth-degree polynomial in factored form that is decreasing at both ends, has a single…

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Q: Look into the polynomial p(x) It is known from the polynomial that p(-3)=-1 and p(0)=3 Based on this…

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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: The zeros of a third degree polynomial function are 0, 2,–3. Write a possible equation for the…

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

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Q: Determine the roots and the end behavior of tthe polynomial f(x)=(x+2)2(x-1). Be sure to explane how…

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Q: Write an equation for the polynomial graphed below 6+ 5+ 4 3 - 2 1 + + + -5 14 -3 -1 2 4 5 -2 -3 -…

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Q: How  many roots does the polynomial have?

A: NOTE: Refresh your page if you can't see any equations. . to find the roots, take P=0

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

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Q: What is the polynomial, in factored form, for the function with the leading coefficient 6, and zeros…

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Q: Find the quadratic polynomial whose zeroes are -3 and 4

A: Solution:- We know that a quadratic polynomial can be written in the form of P(x) =x2 - (α + β)x +…

Q: Find the equation of the polynomial function, in linear factored form, whose graph is given

A: here we use this graph : in x-axis points are (-2,0),(1,0) and, in y-axis (0,2)

Q: Write a fifth-degree polynomial in factored form that approaches positive infinity as x approaches…

A: Please refer the attached image for complete solution. THANK YOU.

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: 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: Find the roots of the polynomial: f (x) = x4 + 4x² – 32

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Q: What can be determined by looking at the factored form of the polynomial…

A: We can use the concept of quadrilateral In order to sove the given problem.

Q: Write the equation of the polynomial function that has the given zeros, and goes through the point…

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Q: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)

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Q: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

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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: The graph of the polynomial function f(x) =x* +x2 - 4x + 6 is shown below. What does the real…

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

A: We have to find

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

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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: Use Descartes rule of signs to determine how many positive solutions and how many negative solutions…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Based on the end behavior of the graph of polynomial functions, what best describes the leading…

A: Leading term is x3. Leading coefficient is -4

Q: Determine the leading coefficient of this polynomial function: (x) = 5x - 2x + 1 %3D Answer to the…

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Q: What is the purpose of having a polynomial function in factored form?

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Q: Create an equation for a polynomial whose roots are x = -1, -5, 3 with a y intercept of 8.

A: Given :   Roots : x= -1, -5, 3

Q: What is the degree of a polynomial equation? What are polynomial equations of degree 1 and degree 2,…

A: given , to define degree of polynomial equation and what are polynomial equations of degree 1 and 2