Find the quadratic polynomials whose zeroes (1)3,-4 (ii)2,1

Q: find the zeros of the polynomials f(u) = 4u2+8u, and verify the relationship between the zeros and…

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Q: I the zeros of the given quadratic polynomials, and verify the relationship between the oefficient…

A: Explanation and solutions is given below.....

Q: Find a quadratic polynomial whose sum and product respectively of the zeroes are as given .Also find…

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Q: Find the roots of the quadratic polynomials: f (x) = x2 − 2x − 1

A: We know that, for an standard equation fx=ax2+bx+c, roots are calculated by using quadratic formula…

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: Express the polynomial a+ 3 +a2 + 2r as a product of its irreducible factors in Z,lr).

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Q: What are the zeros of the polynomial p (x) = (a - 5) (3x + 5) (x2 – 7x + 12)? %3D Express them in…

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

A: The zeros of the polynomial are 1, -3, 2i. Since 2i is the zero of the polynomial, therefore its…

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

A: Given f (x) = 4x2 − 3x − 1

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

A: Sum of zeros = -(b/a)  product of zeros = (c/a)

Q: Express the polynomial x3 + 2x+3 EZ-[x]as a product of irreducible polynomials of 75[x].

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Q: 1) Sketch a cubic polynomial whose zeros are -1, 2, and 9

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Q: If alpha and beta are zeroes of x^-x-30,then form a quadratic polynomial whose zeroes are –2alpha…

A: α & β are zeroes of x2-x-30. That is, α+β=--11  &  αβ=-301   ∵If α & β are zeroes of…

Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

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: Use the linear factorization theorem to construct a polynomial function with the given condition.…

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Q: Find an equation of polynomial function with real coefficients having zeros at 3,-1,4+2i

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Q: Express the polynomial x5 + 3x3 + x2 + 2x as a product of its irreducible factors in Z5[x].

A: Given: [May be the question is wrong, otherwise the given solution is correct.] The given polynomial…

Q: Show the quadratic formula work that reveals the two non-real zeros of the polynomial function…

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Q: Find the quadratic polynomials whose zeroes are  (i) 3,4 (ii)2,1

A: The objective is to find the quadratic polynomials whose zeroes are  (i) 3,4 (ii)2,1

Q: (c) Express the quadratic form Q(x1,x2, x3) = 6x + 3x3 + 3x3 – 4x1x2 - 2x2x3+4x3x1 %3D to the sum of…

A: A detailed solution is given below.

Q: 8 (x)= 1 centered at a =0 1+x

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Q: Consider the following quadratics: Q1:x2+y2-5z2-9=0 Q2:x2+y2-8z2=0 Calculate the distance of the set…

A: Given Q1:x2+y2-5z2-9=0Q2:x2+y2-8z2=0

Q: Find the quadratic polynomials whose zeroes (i)3,-4 (ii)2,1

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Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

Q: Find the quadratic polynomial whose zeroes are i) 3,-4 ii)2,1

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Q: Show that if the quadratic polynomial f (x) = x2 + rx + s takes on both positive and negative…

A: Find the real roots of the polynomial,

Q: Q3: Factorize f (x) = 2x* + x³ + 2x + 4 € Z5[x] as a polynomials product to irreducible over Z5?

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Q: find the zeros of the quadratic polynomial x2 +7x+12 ,and verify the relation between the zeros and…

A: Given the polynomial x2+7x+12=0

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

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Q: Find a quadratic polynomial such that f(1) = 5, f'(1) = 4, and f"(1) = 8.

A: The quadratic polynomial is of the form: f(x)=ax2+bx+c...(1) Now,…

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: Find the quadratic function such that f(4) = - 26, f '(4) = -19 and f ''(4) = -6.

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

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

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Q: 29. Select the quadratic polynomial with roots –1 and 4. x2 + 3x – 4 x3 – 2x2 – 7x – 4 4x² + 8x + 4…

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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: 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: Find a quadratic polynomial whose zeroes are (i)3, -4 (i)2, 1

A: Quadratic  equation = x2-(Sum of zeroes)x + product of zeroes =0

Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

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: When are the non-negative integer and the real constants called the coefficients of the polynomials?

A: When the non- negative integer and the real constants are expressed as linear combination of finite…

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: 2. Find a quadratic spline function having the nodes -1,0 and 1, and satisfying the table -1 0|1 5…

A: This question is about application of numerical method to obtain quadratic spline

Q: Find the quadratic function for which: Contains the points (0, 5), (1, 2), and (3, 2)

A: The given points are,  (0, 5), (1, 2), and (3, 2). The quadratic equation is of the form y=ax2+bx+c.…

Q: Consider a quadratic polynomial with a negativ main coefficient and a negative discriminant. Which…

A: Consider a quadratic polynomial with a negative main coefficient and a negative discriminant. Which…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.