I need to check my answers for a practice question in my precalculus class:   Find all the zeros of y=x^3 +27 and factor into linear factors.

Q: Find the area of the playing field described byR: -2 ≤ x ≤ 2, -1 - √(4 - x2) ≤ y ≤ 1 + √(4 - x2),…

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Q: What is the value of the discriminant for this quadratic: 2x -12x + 8 = y O 80 O 40 -208

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Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminantindicate about the number…

A: The discriminant of 4x2 - 8x + 1 = 0 is:

Q: verbally   If a third-degree polynomial has a lone x-intercept at x = a, discuss what this implies…

A: Given query is to provide information regarding factor of a 3 degree polynomial.

Q: To complete the square of x2 - 4x, add______

A: Given x2-4x

Q: What is the value of the discriminant for this quadratic: 8x2 - 24x + 18 = y O-1,152

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Q: List the zeros of y = x(x +4). If you have more than one solution, separate them with commas.

A: Given that: y=x(x+4)

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: The quotient rule for square roots states that if a and be are nonnegative and b doesn't equal…

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Q: The exercises in this section should be done using a graphing calculator or computer algebra…

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Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: By using the method of completing the square. Show that the equation 4x2 + 3x + 5 = 0 has no real…

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Q: What is the discriminant and what information does it provide about a quadratic equation?

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Q: Consider 2x3+3x2-x+7=0 where α, β, γ are roots.  Find α2β+β2α+γ2β+β2γ+α2γ+γ2α

A: Given, 2x3+3x2-x+7=0

Q: If r is a solution to the equation f(x)=0               , name three additional statements that can…

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Q: If the square of x and the square root of x is equal to each other but not equal to x, what is the…

A: Image is attached with detailed solution.

Q: Use the discriminant to determine the number of roots. Y=3x^2+4x+4/3

A: To determine the nature of the roots of the quadratic equation of the form fx=ax2+bx+c, compute the…

Q: Take out a scratch paper and solve the problem 2x+5 = 7x-40 %3D What is x?

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Q: Find the roots of 2x quadratic equation - 2/x2 +1 = 0,if they exist using the

A: Given equation is 2x2-22x+1=0 find the roots of the quadratic equation

Q: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then √a/b =…

A: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then

Q: Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a…

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Q: Plot f (x) = 2x4 + 3x3 − 14x2 − 9x + 18 in the appropriate viewing rectangles and determine its…

A: Given:  f (x) = 2x4 + 3x3 − 14x2 − 9x + 18  To plot the polynomial and determine its roots.

Q: show that the equation x^5+2x^3+3x-4=0 has exactly one root. Justify your answer.

A: Given equation has only one root. Here is its explanation.

Q: - Find the extremum of x + x3 subject to x1 + 4x2 = 2.

A: Given x12+x22, x1+4x2=2let fx1,x2=x12+x22gx1,x2=x1+4x2=2using legrange multiplier methodsolve ∇f=λ∇g…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Suppose ax2+bx+c = 0 is a quadratic equation. The discriminant of the quadratic equation is b2-4ac.…

Q: I need help with polynomials. How quickly determine the number of roots a polynomial will have by…

A: Let suppose we have linear equation  x + 2 =0 Look at the leading term ,it has only one power , then…

Q: State the Zeros Theorem.

A: Statement: Let P(x) is a polynomial with integer coefficients. Let p/q is a zero of P(x) Then p is a…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Find the real root of the equation, x - 3x- 5 0 by the bisection method.

A: We will find out the required root.

Q: Compute the discriminant. Then determine the number and type of solutions for the equation. 7x² -x +…

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Q: Express x2 + 6x + 16 in terms of a perfect square.

A: Given expression is x2+6x+16. Making the given expression as perfect square.…

Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminant indicate about the number…

A: Given: 4x2-8x+1=0

Q: The Pythagorean Theorem states that the square of the ________ is equal to the ______of the squares…

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Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f (x) = x³ – 3x + 1 Using a…

A: Roots of the equation

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

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Q: Show by completing a square that the solution to the equation ax^2-bx-a=b are x=-1 and x=(a+b)/a

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Q: Determine the roots of f(x) = -12- 12x + 18x² - 2.75x³ a. Graphically

A: A. Hint: The given equation is f(x)=-12-12x+18x2-2.75x3. Differentiate the given function with…

Q: Is there a real number ______ whose square is -1? b. Does there exist _____ such that x 2 = −1?

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Q: find the nature of root of 2x2-4x+3=0

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Q: Find the roots and their multiplicities of the function by factoring: Y=3x^4+x^3+12x^2

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Q: olo Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: The discriminant, D, of the quadratic equation: ax2+bx+c=0 is calculated using the formula:…

Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x³ – 3x + 1 Using a…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Determine a positive real root of this equation using appropriate software: 2x3 − 10x0.5 − 3x = −3

A: Consider the given equation as 2x3-10x0.5-3x=-3

Q: Find atleast 1 root for the equation 32X²-5X3-11=0

A: Here we have to find the root.

Q: Determine the roots of f(x) = -12- 12x + 18x² -2.75x³ a. Graphically

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Q: Create an equation for a polynomial whose roots are x = -1, -5, 3 with a y intercept of 8.

A: Given :   Roots : x= -1, -5, 3

Q: Find ALL the roots of the equation. 1 y = x° + 6x2 + x + 6

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

Q: Can I square the right side of V26 – 11x = 4 – x by first squaring 4 and then squaring x?

A: Given 26-11x=4-x

Polynomials

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