Activity 6. Find all the real roots of the following polynomial equation 1) (3x + 2) (x2 - 25) = 0

Q: Find a polynomial function with real coefficients that has the given zeros.4, −3i

A: Given: Zeros: 4, -3i

Q: find a polynomial function with real coefficients that has the given zeros.  A) 0,2,3i B) 1,1,2+√3…

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Q: Find the zeros of the polynomial f(u) = 4u + 8u, and verify the relationship between the zeros and…

A: f(u) = 4u2 + 8u To Find the zeros of the polynomial f(u) and To verify the relationship between the…

Q: The polynomial x(x^2-4)(x^2+4) has___ real roots.

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Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: find a degree 3 polynomial having zeros -8, 2, 6 and coefficient of x3  equal 1. the polynomial is:

A: Zeros are -8, 2, 6. So, factors will be –

Q: Find a polynomial (x) of degree 4 that has the following zeros. 7, -6, 0, -3 Leave your answer in…

A: Given Zeros of the 4th degree  polynomial are  7,-6, 0 and -3. Note: If a, b, c and d are the zeros…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of eac (i) (2.x…

A: Put polynomial =0

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions…

A: Complex zeroes occurs in pair. So if i is a zero then -i is also a zero.

Q: Find all real solutions of the polynomial equation x* - 7x + 42x - 36 = 0. х%3D 1,-36, 12 х%3D 1,-7,…

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Q: Find a polynomial function with real coefficients that has the given zeros: 1,1, 2+√3i.

A:

Q: 2. If a third degree polynomial has a lone x-intercept at x=a, discuss what this implies about…

A: The x-intercept of a function is the point at which the function touches the x-axis. That is the…

Q: 5. Find a polynomial equation with real coefficients that has the given zeros: - 3, 4i

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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: Write an equation of the 4th degree polynomial function h(x) with real coefficients that meets the…

A: Here given polynomial have degree 4

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions, n =…

A: Given that degree of polynomial that is n = 4. Roots are i and 3i. If any polynomial having complex…

Q: 6. Suppose the polynomial function has the given root. Find the other roots (a) f(x) = 2r3 – 4x2 –…

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Q: Factor f(x)= 3x + 11x-67x+21 into linear factors given that -7 is a zero of f(x). f(x) = 3x° + 11x -…

A: This question is based on factorisation of Polynomial.

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions, n =…

A: n=4, zeroes are -4, 13, 2+3i and f1=100. Since 2+3i is the zero of the polynomial function,…

Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

Q: Find all the real zeros of teh polynomial. Use the Quadratic Formula if necessary given. P(x) = 4x3…

A: Zeroes are those values for the polynomial which gives zero value for the polynomial when replaced…

Q: - The of a polynomial f(x) are the solutions (or roots) of the equation f(x) = 0.

A: Suppose, f(x)= x2-3x+2 is a polynomial. So, to find the solutions or roots or zeroes of this…

Q: b) f(x)=6x+ +7x² – 8x+ 9 Туре of polynomial Degree Sign of leading coefficient End behaviours Domain

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Q: In Problem,explain why the facts given are contradictory.

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Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

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Q: 3. Find all zeros(real and complex) of the polynomial P(x) = x* + x³ + 7x² + 9x – 18, making sure to…

A: The given polynomial is  P(x) = x4 +x3 + 7x2 + 9x - 18

Q: (b) Find a polynomial function of degree 4 whose zeros: -i; 3 (multiplicity 2).

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Q: Factor f(x)= 2x - 5x - 14x+8 into linear factors given that -2 is a zero of f(x). f(x) = 2x° -…

A:

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 4, -5, 0, -2 Leave your answer in…

A: Write in factor form

Q: Find a polynomial equation with real coefficients that has t 8, 9-i The polynomial equation is

A:

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

A:

Q: Suppose that R (x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose…

A: Given,            Suppose that Rx is a polynomial 12 whose coefficients are real numbers.…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 7 (multiplicity 2), –3, 0 Leave…

A:

Q: Let f(x) is the polynomial of degree 4 whose coefficients are real numbers; two of its zeros are –3…

A: The zeros of a polynomial px is the value of x at which px=0. The number of zeros of a polynomial is…

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 4,2,-4.…

A: We find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x):…

Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also suppose that…

Q: Show that the cubic polynomial p(x) = ax3 + bx2 + cx + d has exactly one point of inflection (x0,…

A: Given Data The cubic polynomial equation is p(x)=ax3+bx2+cx+d. The equation is p(x)= x3-3x2+2.…

Q: Find a degree 3 polynomial having zeros -1, 2 and 5 and the coefficient of x^3 equal 1. The…

A: Here we find the polynomial whose zeros are given.

Q: Find the zeroes of the polynomial f(u) =4u2+8u,and verify the relationship between the zeroes and…

A: Solution: The objective is to find the zeroes of the given polynomial

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions:n=3-2…

A: We have n = 3. It means we need to find 3rd-degree polynomial. It is generally given as follows:-

Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x° equal 1. The…

A: If x=k is a zero of a polynomial, then (x-k) is a factor of the polynomial. Given that the zeros are…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. -9, 0, 1 Leave your answer in…

A:

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 6, -2, 0 Leave your answer in…

A: If an element 'a' is zero of a polynomial then we have (x-a) is factor of polynomial.

Q: find all roots of the polynomial f(x)=(3x-2)(3x^2-5)(x^2+9)

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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: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

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Q: Find an equation with real coefficients for the polynomial that passes through the point (0,…

A: we have to find an equation with real coefficients for the polynomial that passes through the point…

Q: Find a polynomial f(x) of degree 4 that has the following zeros: 4,-9,-5,0. Leave your answer in…

A: Find a polynomial f(x) of degree 4 that has the following zeros: 4,-9,-5,0. Leave your answer in…