Given that 3 is a zero of the polynomial P(x) = 2x+ – 17x3 +52x² – 64x + 21, find the other real and complex zeros of P.

Q: Find  the value of the polynomial 5x-4x2 + 3 at x = 2 and  x = -1

A: Given, Polynomial  =  5x- 4x2 + 3  Finding the value of polynomial at x = 2  = 5*2 - 4(2)2 + 3 = 10…

Q: Find the zeroes of the polynomial  P(x) = 4x2 - 12x + 9

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Q: Find all zeros of the polynomial. P(x) = x5 - 3x4 + 12x3 - 28x2 + 27x - 9

A: Zeroes of the polynomial are the values which return zero value for the polynomial. Highest power of…

Q: Find all the zeros of f (x) = x³ – 8 Then, factor the polynomial completely -

A: We have to find

Q: The number of zeros of the polynomial x² + 4x +1 in Z, is: 4 2 None

A:

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

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

Q: ) Eind the degree leading coefficients andthemaximumnumber of real zeros of the polynomial. flx) =…

A: Given fx=-4x7+2x5+3x8+4

Q: Show that x−6 is a factor of the polynomial p(x)=(1/3)x^3 − (15/2)x^2 + 56x − 138. How many real…

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Q: Find all zeros of the polynomial. P(x) = x5 - x4 + 7x3 - 7x2 + 12x - 12

A: We have a polynomialP(x) = x5 - x4 + 7x3 - 7x2 + 12x - 12First of all by hit and trial, we will find…

Q: If a and B are zeros of polynomial p(x) =x² – 5x +6, then find the value of a + B - 3aß.

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

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

A: Given f(x)=x3-12x2+39x-28  Zeroes are in AP. Let the zeroes be of the form a-d,a,a+d

Q: Find the remainder when polynomial x^5 -6x^3+2x^2+18 is divided by (x-2)

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Q: Find all zeros of the polynomial. P(x) = x5 + x3 + 8x2 + 8 [Hint: Factor by grouping.]

A: Consider the given polynomial as px=x5+x3+8x2+8

Q: Find all zeros of the polynomial. P(x) = x4 - 6x3 + 13x2 - 24x + 36

A: To Find all zeros of the polynomial: P(x)=x4-6x3+13x2-24x+36

Q: For the polynomial below, 2 is a zero. g (x) =x + 2x2 – 11x + 6 Express g (x) as a product of linear…

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Q: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

A: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

Q: Find a polynomial of degree 3 that has zeros of 3, 4, and 5, and where the coefficient of x? is 8.…

A: polynomial of degree 3 has zeros of  3, -4 & 5 and coefficient of x2is 8Let the polynomial be…

Q: Find all zeros of the polynomial. P(x) = x4 + x3 + 7x2 + 9x - 18

A: Rational Zero Theorem states that if the polynomial function fx has integer coefficients, then every…

Q: The number of zeros of the polynomial x +3x+2 in z, is: None 4

A: The given polynomial is a 2 degree polynomial  Because the highest power is x is 2  So the zeroes of…

Q: 2.) Use factoring to find the real zeroes of the polynomial. a.) f(x)= 27x-64 b.) h(x) = 25x' +175x…

A: Given, f(x)=27x3-64 find the real zeroes of the function f(x)=027x3-64=027x3=64x3=433 x=43 function…

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)=x3-px2+qx-r,…

A: we know for cubic equation,  ax^3+bx^2+cx + d having roots α,β and γ  Sum of roots,α+β+γ=−b/a, Sum…

Q: Find all zeros of the polynomial. P(x) = 2x3 + 7x2 + 12x + 9

A: Find all zeros of the polynomial. P(x) = 2x3 + 7x2 + 12x + 9

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: Find the zeros of the polynomial p(x)=x4-16

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Q: Find thezeroes of the polynomial p(x)=(x-2)2-(x+2)2

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

A: Explained below

Q: . Using Descartes’ Rule of Signs, we can tell that thepolynomial P1x2  x5  3x4  2x3  x2  8x  8…

A: The Descartes rule of signs states that if p be a polynomial with real coefficients then (1) The…

Q: Find the zeros of the polynomial f (x)=x3-5x2-16x+80  ,if it's two zeros are equals tin magnitude…

A: The no. of roots of a polynomial is depend on the degree of polynomial Since, degree of this…

Q: Find the zeros of the polynomials f(x) =x3-5x2-16x+80,if it's two zeros are equal in magnitude but…

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Q: The number of zeros of the polynomial x² + 3x + 2 in Zg is: None O 2

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Q: Find all real zeros of the polynomial  P(x)=5x4+36x3+47x2−52x−12.

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Q: Find the degree of the polynomial. x2 + 6x° + 5x + 3x° – 4

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Q: Find all zeros of the polynomial P(x) = 2X^4 + 15x^3 + 31x^2 + 20x + 4 Also, factor the polynomial…

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Q: Find all zeros of the polynomial. P(x) = x2 + 2x2 + 4x + 8

A: Given: px=x2+2x2+4x+8 We know that zeros of quadratic equationax2+bx+c=0 is given by x=-b±b2-4ac2a…

Q: Find all zeros of P(x) = x* – 16 Factor the polynomial completely

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Q: Use the synthetic division to show that 3is a solution of the polynomial equation. 14x 3-17x2-16x…

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Q: Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the…

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Q: 24. P(x) = 2x' + 3x - 8x + 3 %3D

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

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

Q: The polynomial 3x2 + bx - 4 has x - a as a factor, where a #0. Express b in terms of a.

A: Given polynomial is 3x2+bx-4...........(1) (x-a) is a factor of (1), so plugging x=a in the given…

Q: Find all zeros of the polynomial. P(x) = x3 + 7x2 + 18x + 18

A: Given polynomial P(x) = x3 + 7x2 + 18x + 18

Q: Find all the real zeros of the polynomial P(r) r'+6r+7x-4.

A: Given,          The polynomial is Px=x3+6x2+7x-4 .

Q: Find all zeros of the polynomial. P(x) = 4x4 + 4x3 + 5x2 + 4x + 1

A: `p(x)=4x4+4x3+5x2+4x+1

Q: Find all zeros of the polynomial. P(x) = x3 - 7x2 + 17x - 15

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Q: 4. Find all the real and complex zeros of the polynomial. P(x) = 2x3 + 5x² – 6x – 9 9

A: Given P(x) = 2x3 + 5x2 -6x-9

Q: find the remainder when the polynomial x^4 - 6x^3 + 4x^2 + 5x +3 is divided by (x + 1)

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Q: Consider the polynomial 6x3 22x2 + 7x + 15. What are all - of the possible rational zeros? Does this…

A: We have to apply hit and trial method to find the first zero of the given cubic polynomial. And then…

Q: Find all zeros of the polynomial. P(x) = 2x3 - 8x2 + 9x - 9

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

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