Find the condition which must be satisfied by the coefficients of the polynomial p(x)=x3-px2+qx-r, when the sum of its two zeroes is zero

Q: Find a polynomial function with real coefficients that has the given zeros.

A: The given zeros are -52, -5, 1+3i

Q: Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero , the product of the other…

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

A: Given: Zeros: 4, -3i

Q: Find the zeros of the polynomial f(x) = 4/3x +5x-23, and verify the relationship between the zeros…

A: we have givenf(x) =43x2 +5x-23for finding zeros of this polynomial f(x) =0

Q: What will be the difference of the two polynomial function p(x) and q(x) at x= 9 where p(x)=6x2…

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Q: Find the third degree polynomial function that has an output of 16 when x=2, and has zeros 1 and -2i

A: We have to find  a third degree polynomial function that has an output of 16 when x=2, and has zeros…

Q: f(x) = x4 – 1Ox2 + 9

A: Solution of polynomial function is given by x=-1,1,-3,3  Clearly each zero has multiplicity one…

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)…

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Q: If sum of the squares zeroes of the quadratic polynomial f(x) =x2-8x+k is 40.Find k

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Q: Find the roots of the quadratic polynomials: f (x) = 4x2 − 3x − 1

A: Given f (x) = 4x2 − 3x − 1

Q: Compute the zeroes of the polynomial 4x2 - 4x -8 also establish a relationship between the zeroes…

A: Given Polynomial 4x2-4x-8 = 4x2-8x+4x-8  = 4x(x-2)+4(x-2) = (4x+4)(x-2) In order to find the zeros…

Q: Which polynomial function would have the end behavior of as x→ too, y 0? f(x) = 7x5 – 8x1 – 2x3 + x²…

A: The given polynomial functions are…

Q: If the sum of the zeroes of the polynomial p(x) = (k2 -14) x2 - 2x -12 is 1 . Then find the value of…

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Q: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 1,-7,0,2 Leave your answer in…

A: The objective is to find the polynomial of degree 4. If a is the zero of any polynomial f(x), then…

Q: Prove that x- 3 is a factor of the polynomial x + 4x-17x2-14x + 6 without referring to the graph.

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Q: Find a polynomial​ function, ​f(x), with least degree with integer coefficients that have 5 −2​, and…

A: A general equation of polynomial having zeros a, b, and c is given by

Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: The answer is given below:

Q: What is the leading coefficient of athird degree polynomial function that has an output of 1,272…

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Q: Find the zeros of the quadratic polynomial f(x) =6x2 -3,and verify the relationship between the…

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Q: Show that the polynomial function f(x) = x3 - 2x - 5 has a real zero between2 and 3.

A: We have to show that polynomial fx=x3-2x-5 has a real zero between 2 and 3.

Q: one of the zero of the quadratic polynomial f(x)=4x2-8kx-9 is negative of the other , then find the…

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Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Find an equation of a polynomial function with real coefficients having zeros 4 and 2+3i

A: We have to find the equation

Q: Find the zeroes of a polynomial f(x) =x2-12x2+39x-28 ,If it is given that zeroes are in AP

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

Q: Find all the zeros of the polynomial f(x)=2x^3-5x^2-4x+3

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Q: The term containing the highest power of x in the polynomial f (x) is 6x. One of the roots of the…

A: Given the quadratic polynomial x2-2x+3 is a factor of f(x) and the highest power of f(x) = 3 Let…

Q: Produce the quadratic polynomial interpolating the data {(-2, –15), (–1, –8), (0, –3)}. Find the…

A: We will find out the required equation of quadratic polynomial.

Q: Suppose p(x) is a cubic polynomial that shares two of its roots with f (x)=2x² – 5x+3, has the same…

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Q: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x -3 and then verify…

A: Note :- Solved by taking cubic polynomial p(x) = 3x3-5x2-11x -3 ( because in cubic polynomial 'x'…

Q: Find all zeros of the polynomial. P(x) = x3 - 3x2 + 3x - 2

A: Given polynomial is P(x)=x3-3x2+3x-2

Q: Find all zeros of the polynomial f(x) = 2x^3 + x^2 − 4x + 1.

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Q: Verify that 3 , -1 , -(1/3) are the zeroes of the cubic polynomial  p(x)=3x3-5x2-11x-3

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Q: Find the zeroes of the polynomial f(x)=x3-12x2+39x-28 ,if it is given that the zeros are in AP

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Q: If sum of the squares  zeroes of the quadratic polynomial         f(x)=x2-8x+k is 40 . Find k

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Q: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

Q: FInd

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Q: 8. Find the sum of all the zeros of the polynomial f(x) = x + 2x2-5x-6 O -5 -2 0. 2 6

A: Given equation is fx = x3+2x2-5x-6Comparing it with ax3+bx2+cx+d = 0a = 1, b = 2, c = -5, d = -6

Q: 2. Which polynomial function would have the end behaviour of as, x → Ax) = 7x - 8x* - 2x +x + 3x - 2…

A: topic - polynomials The end behavior of a polynomial function is the behavior of the graph of…

Q: Express the second order polynomial p(x) = x^2 + 4x + 13 in the sum of square form

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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: Determine the multiplicity of 1 as a root of a polynomial f(x) = x³ 3x¹ +4x³ − 4x² + 3x − 1

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Q: FInd the zeroes of the polynomial f (x) =x2-12x2+39x-28,if it is given that the zeroes are AP

A:

Q: Find a polynomial f (x) of degree 4 that has the following zeros. -4, 1, -9, 0 Leave your answer in…

A: Polynomial  with zeros -4,1,-9,0 can be written as below :

Q: Find algebraically the zeros for .3 p(x) = x³ + x² – 4x – 4 %3D -

A:

Q: Find the critical points, A and B, of the following polynomial (with A<B) f(x) = 6x3 - 45x2 - 432x…

A: A = -3.04 B = 8.04

Q: Show that is a zero of the polynomial 2 P(x) = 2x* + æ – 5a2 +10x - 4

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Q: Show that the polynomial function f(x) = 3x3 - 10x + 9 has a real zero between -3 and -2.

A: Given that, fx=3x3-10x+9

Polynomials

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