Confirm that 2 is an upper bound and -15 is a lower bound for the real zeros of f(x) = x* + 14x³ + 56x² + 34x – 105. %3D

Q: How can all real zeroes be found for f(x) = x^4 - x^3 - 20x^2?

A: The given function is f(x)=x4-x3-20x2. We have to find all the zeros of the given function.

Q: If f(a) = 4x3 - 11x + 14x - 6, then show the values f(0) and f(1) have different algebraic…

A: A real valued function is said to be continuous as whose graph does not have any breaks or holes.…

Q: Confirm that 2 is an upper bound and -15 is a lower bound for the real zeros of f(x) = x* + 14x3 +…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What are the zeros of the function x^2+2x-3 over x^2+3x+2

A: To find the zeroes of the function x2+2x-3 over x2+3x+2.The zeroes of a function are the values such…

Q: Find all zeros of f(x) = x3 - 4x2 + x + 6.

A: Consider the function- f(x)=x3-4x2+x+6. Find all the zeros. Zeroes of the polynomials f(x) are the…

Q: Find all zeros of f(x) = x4 - 4x2.

A:

Q: Show that f(x)= x3 + 3x + 1 has exactly one real root

A: fx=x3+3x+1i fx is continuous on -1,0ii f-1=-13+3-1+1           =-3<0  f0=1>0Therefore by…

Q: 2) Determine the root of f(x) = x³ – 9x² + 3.8197 = 0

A:

Q: Find f'(x). f(x) = 2 In (2+7x2)

A: Taking derivative with respect to x,   Take the constant 2 out of the brackets,

Q: Show that f(x)=4x^5+x^3+7x−2  has exactly one real root.

A: Given, f(x)=4x5+x3+7x-2

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x - 8x² +4 has a real zero…

A: Substitute the value of -1 and 0 in f(x).

Q: 7. If 2 + 5i is one zero of f(x) = x' + 4x -3x + 232, find the remaining zeros. Zero(s).

A:

Q: Determine all real zeros of f. Ax) = x³ + 4x² – 9x – 36

A:

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: Use the Intermediate Value Theorem to approximate the real zero of f(x) = x3 − 3x2 − 2.

A:

Q: Find all zeros of f(x) = x - x + 8z + 60.

A: Given that : The polynomial is f(x) = x 3 - x2 + 8x + 60.

Q: 6 Identify any point(s) of inflection of f(x) = -3x³ + 5x³ and justify. %3D

A: The given function is: f(x)=-3x5+5x3 To find the inflection point we have to check the concavity of…

Q: Find removable discontinuities in f(x)=9x5-3x2+1

A: To remove discontinuity we need to factor numerator and denominator.

Q: Find A-x) and determine whetherfis odd, even, or neither. 4) f(x) = 4x - Sx4 4)

A:

Q: Use the Intermediate Value Theorem to show that thefunction f1x2 = 4x3 - 2x2 - 7 has a real zero in…

A: Given: fx=4x3-2x2-7; x∈1,2 We know that for a polynomial functiony=fx in x∈a,b, if fa and fb have…

Q: 4 Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x* - 10x +4 has a real zero…

A: Given interval is -1 to 0 Use intermediate value theorem to show that polynomial has a real zero…

Q: 6. Use the Remainder Theorem to evaluate f(x) = 10x* - x3 + 13x2 – 9x + 17 at x =-.

A: Since the student has mentioned to solve question number (6), so we are solving only question number…

Q: The fourth-degree polynomial f (x) = 230xt + 18x³ + 9x? – 221x - 9 has two real zeros, one in [-1,…

A: The given problem is to find the approximate roots using Newton's method in the given intervals…

Q: express f(x) =x³+2x²-x-3 , in term of lagendre polynomial

A: To express the given function f(x)=x3 +2x2 -x-3 in terms of Lagendre polynomial.

Q: Find f'(1) if Ax) = (4x- 3) %3D 2.

A:

Q: The equation that does not represent a polynomial function is Oy = - = -x + Oy = x 10 - x + √22 + x…

A:

Q: 8. Find one zero of the polynomial f(x)=2x-x-6x+3 %3D

A: Given function is: Apply rational root theorem to get roots of polynomial. If the polynomial has a…

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

A: Please refer to the image below

Q: 17. f(x) = x² + 8x-10 %3D

A: The given function is of the form , fx = x2+8x-10 this function is of the form, y = ax2 + bx + c…

Q: 3. Find all the zeros for: f(x) = x3 - 2x2 - 5x + 6

A: Given that, y = x3 - 2x2 -5x + 6 and we have to calculate the zeros of the function. We know that,…

Q: Find all zeros of the function f(x) 12x – 55x2 – 27x + 10. Enter the zeros separated by - commas.

A: find the zeros

Q: 10) If x = 1 is a zero, what are the other zeros for x3 - 3x2 + x + 1 = 0 ?

A:

Q: 3. Find algebraically the zeros for f (x) = x - 4x 9x + 36x %3D

A: Given function

Q: Calculate R_5 for f(x)=2x^2+8x over [-1,1].

A: Given: fx=2x2+8x The interval is -1, 1

Q: Express as a polynomial.

A: .

Q: 5. Use the Intermediate Value Theorem to show that f(x) = 3x³ – 10x + 9 has a real zero between -3…

A:

Q: Find the zeros of f (x) = x^(4)-4x^(3)-12x^(2) pre caluclus

A: Given : f(x)=x4-4x3-12x2 To find : We have to determine the zeros of f(x).

Q: у 3 In(5x — 3) %3D

A: Given: y=ln(5x-3)

Q: State the possibI 1) f(x) = 3x + xr- 3x - 1 %3D

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Show that f(x) = 2x3 + 3x2 − 36x is not one-to-one on (−∞, ∞).

A: Given: f(x)=2x3+3x2-36x, -∞,∞

Q: 16. Express f (x)=x² – x–6 in standard form.

A: Recall: Standard form of the quadratic equation is f(x)=ax2+bx+c

Q: Express f(x) = 4x3 + 6x2 + 7x + 2 in term of Legendre Polynomials.

A: The Legendre equation is, 1-x2d2ydx2-2x dydx+nn+1y=0 The polynomial denoted by Pnx is called the…

Q: х Use the Intermediate Value Theorem to show that f (x) 4 has a solution on 2. (-10,-7)

A: The given function is as f(x) = x/2 + 4

Q: Find all the zeros for: f(x) = x3 + 2x2 - 5x - 6 %3D

A: The given polynomial is cubic in nature.

Q: 12. Find all the rational zeros for the function. f(x) = 5x³ – 16x² – 47x + 10 - -10 -2 1/2

A:

Q: How can all real zeroes be found for 6x^3 - 24x^2 + 6x?

A: This question can be solved using the concept of finding the zeroes.

Polynomials

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