The quadratic form Q(x) = 3x1? – 7x,² + 4x3? is (a) Negative definite (b) Indefinite (c) Positive definite (d) Negative semi-definite

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

A: The given zeros are -52, -5, 1+3i

Q: Establish an iterative procedure to determine the root of the polynomial y = f(x) = x³ + 2x – 4

A: Iterative method.

Q: The graph of a polynomial f(x) = (2x – 3)(æ – 4)(x + 3) has x-intercepts at 3 x values. What are…

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercepts take f(x)=0

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

A: Given: Zeros: 4, -3i

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: 35. Write a third-degree polynomial f(x) with integer coefficients and with zeros of -2i and.

A: Given: A third degree polynomial with integer coefficients and with zeros of -2i and 5/3. Concept…

Q: Find the zeroes of the quadratic polynomial x2+7x+10, and verify the relationship between the zeroes…

A:

Q: Find a degree 3 polynomial that has zeros -4, 2 and 8 and in which the coefficient of x is-12.…

A:

Q: Find the general solution to the nonhomogeneous, lincar difference equation X+2 - 4x = 6t - 1 By…

A: Difference equation

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

A: Find the quadratic polynomial

Q: Find the maximum and minimum values of 3x -2x³- 6x² + 6x +1 in the interval (0, 2).

A: Given that f(x)=3x4-2x3-6x2+6x+1  We have to find maximum or minimum value in (0,2)…

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

A:

Q: Find the equation of a 4th degree polynomial that has zeros at x=-7x=−7,  x=2x=2,  x=3x=3  and…

A: Given that, Polynomial has zeros at x = -7, x = 2, x = 3, x = 4 and we have to find the polynomial…

Q: If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?

A:

Q: The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.…

A: We know that ,  The fundamental theorem of algebra states that you will have n roots for an nth…

Q: solve the polynomial for all roots: f(x)=x3-4x2-5x+20

A:

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

A:

Q: What is the largest multiplicity in the factored polynomial y = (x2 – 1)(x + 2)(x + 4)?

A: Here function is :  y = (x2 - 1) (x +2 ) (x+4)  It can be written as  y = ( x - 1)( x + 1 )( x + 2)(…

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

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

A:

Q: Use the Intermediate Value Theorem to show that the equation                       x6 - 8x4 + l0x2 -…

A: To showx6-8x4+10x2-1=0 has atleast six distinct solutions using intermediate Value theorem.

Q: One zero of x3 – 4x = 0 is 0. What are the other zeros?

A:

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: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 3212 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

A: The standard form of a quadratic equation is  ax 2+bx+c=0

Q: 2. Solve the polynomial equation for all zeros. x4 + 5x2 =z?

A: Simplify the polynomial equation x4 + 5x2 = x3 as follows.

Q: The profit function, in dollars, for a product is given byΠ(x) = −x^3 + 76x^2 − 380x − 2800,where x…

A:

Q: What is the equation of a quadratic in standard form, given the zeros x = 3 and x = 6 and the point…

A: The solution is given below.

Q: (4) Suppose the coefficients of the cubic polynomial p(x) = a + bx + cx² + dx³ satisfy the equation…

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Q: C) Find a polynomial of degree 2 that has two irrational zeros

A:

Q: The quadratic form Q(x) = -3x1? – 7x22 – 4x32 is (a) Negative definite (b) Indefinite (c) Positive…

A: Given quadratic form is -3x12-7x22-4x32. The matrix representation is A=-3000-7000-4.

Q: find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A:

Q: 19. What is the largest possible value of the quadratic form 5x + 8x3 if x = (x1, x2) and x"x = 1,…

A: We use the fact mentioned in solution.

Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

Q: b.) Find the root of f(x) = 2x³-5x+2 using Method of successive substitution

A:

Q: Find a degree 3 polynomial having zeros -5, 2 and 8 and the coefficient of x3 equal 1

A: By the factor theorem, the required polynomial have factor(x+5),(x-2) and (x-8)   Therefore the…

Q: I need to find a degree 3 polynomial having zeros -5, 1 and 6 and the coefficient of x3x3 equal 1.…

A: Given query is to find the polynomial.

Q: This equation is about solving polynomial equations. In which find the correct zero for…

A:

Q: Find the zeros of the polynomial funtion. x) = x 3+7x2–4x -28

A: To find the zeroes of the polynomial fx=x3+7x2-4x-28. Solution: Finding zeroes of the polynomial.…

Q: 20. What is the largest possible value of the quadratic form 9(x1)2 + 7(x2)? +11(x3)² – 8x1x2 +…

A: What is the largest value of the quadratic form9x12+7x22+11x32-8x1x2+8x1x3if xTx=1.

Q: Select all the quadratic equations.   7x3 - 9x2 + 3x - 12 = 0 32t2 - 23t = 9 x + 6y = 42 x2 - 4y2 =…

A:

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

A:

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: Use the Intermediate Value Theorem to show that the equation x6 − 8x4 + 10x2 − 1 = 0 has at least…

A:

Q: If one of the zeroes of quadratic polynomial (k-1)x2 +kx+1 is - 3 then find the value of k

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Q: What is the largest possible value of the quadratic form 5x} + 8x} if x = (x1,x2) and x"x = 1, that…

A:

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ using graphical method

A:

Q: 2. Determine the exact real roots for the polynomial equations. a) 8x¹ + x = 0 b) x³ = 5x - 4

A:

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.