f(x)=x4+2x3-7x2-20x-12 a.) Use Descartes' rule of signs to find the possible combinations of the types of roots.  List results in a table. b.) Find all the zeros in the function. c.) Graph the function.

Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: State the possible number of realan imaginary zeros and the possible rational zeros for each…

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Q: Show that there is a root of the equation x3 - x - 1 = 0 between 1 and 2.

A: Consider the given equation. x3-x-1=0 and, fx=x3-x-1 Put x=1 in the function. f1=13-1-1=-1

Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: Determine the roots algebraically by fact a) x- 8x2- 3x + 90 = 0 b) x + 9x + 21x - x - 30 = 0 c)…

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Q: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: Solve the given polynomial equation. Use the Rational Zero Theorem and​ Descartes's Rule of Signs as…

A: Given: The polynomial equation is 2x3-17x2-11x-1=0 To find: using rational theorem to find the roots…

Q: find the real roots of f(x)=2x^3 - 11x^2 + 2x + 15 and use them to show f(x) in factored form.

A: Roots of f(x) is given below...

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: 7.4x+4x3-2Sx2 -x+ 6 0 XI =-3

A: Since you have asked multiple questions, as per company guidelines we will solve the first question…

Q: Find the four real zeros of the function ƒ(x) = 2x4 - 4x2 + 1.

A: Given:

Q: Using MOSS, find the roots of x3-3x+1.

A:

Q: -) What is the nature of the roots for y 2x - 5? Use the disc to determine the nature of the roots.

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

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Q: Fill in the blank so that the resulting statement is true. If a +bi is a root of a polynomial…

A:

Q: Given the quadratic relation y=2x^2+13x+20 a) express the relation in vertex form b) using the…

A: In the given problem we use the formula to finding the roots as follows .    For equation     a x2 +…

Q: Find all zeros of the function f(x) = 4x° + 28² + 8x – 160. Enter the zeros separated by commas. -

A:

Q: 4) a) Show that the equation y = x³ + 3x2 + 16 has exactly one real root. What is it

A: To show That the equation y=x^3+3x^2+16 has exactly one real root.

Q: Determine the type of the quadrilateral of this equation, for every a belongs to Real numbers 2x² -…

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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: (a) Write down the piecewise form for the function |2x – 3|. (b) Hence or otherwise find all…

A: we have to write the given function in piecewise

Q: Find all the zeros of the quadratic function. y=x+9x-36 If there is more than one zero, separate…

A: The given quadratic equation is: y = x2 + 9x - 36

Q: The function x* – 2r³ – 6x² +22x – 15 =0 has how many roots? Explain vour reasonin g and answer in…

A: An equation has as many roots as the degree it has.

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: 1. Find the zeros of the following quadratic equation by factoring. f(x) = 9x2 ‒ 36x + 36 Then…

A: The given function is  f(x) = 9x^2 ‒ 36x + 36

Q: Find the zeros of the quadratic polynomial f(x) =abx2+(b2-ac) x-bc,and verify the relationship…

A:

Q: Find the zeros of the following quadratic equation by factoring. f(x) = 9x2‒ 36x + 36 Then sketch…

A: To find the zeroes of the quadratic equation by factoring  f(x)=9x²-36x+36

Q: Find all the zeros of f(x)=x^3-3x^2+4x-2 and write f(x) in factored form

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Q: The function x- 2r-6x+22x – 15=0 has how many roots?

A:

Q: Given that f(x) = 12x' - 32x2 + 3x + 5, obtain signs of f(-1), f(0). f(1), f(3) and deduce that…

A: Given that f(x)=12x3-32x2+3x+5 Let us find the signs of f(-1); f(0); f(1); f(3)…

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 35x3…

A: Consider fx=35x3-404x2+211x-22, Here, p = factors of constant term 22. So, p=±1,±2,±11. Also, q =…

Q: Show the work steps for finding the roots of x- 13x+36 algebraically.

A:

Q: Find all zeros of the function f(x) = 6x 43x2 + 91x 60. Enter the zeros separated by | | commas.

A: Given: f(x)=6x3-43x2+91x-60To find the zeros of the functions

Q: Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in…

A:

Q: Determine the roots of the function f(x) = (52x − 6)2 − (52x − 6) − 12

A: Given,           The roots of the function f(x)=(52x−6)2−(52x−6)−12

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

A: Given, The cubic function  fx=-12-12x+18x2-2.75x3  We have to determine the roots graphically.

Q: Find all zeros, real and non-real, of f(x) = = x° + 11x² + 44x + 34. Enter the zeros separated by…

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Q: Identify the zeros (solutions) of the function below: -1 and x = %3D

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Find all the zeros of the quadratic function. y=x+ 16x+64 If there is more than one zero, separate…

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Q: Show that the equation r1 + x³ + 4x – 2 = 0 has exactly one real root.

A:

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: Find all zeros of the function ƒ(x) = 2x° 14x + 12. Enter the zeros separated by commas.

A: Given: f(x)=2x3-14x+12 To find: All zeros of the given function

Q: Find the roots of f(x) = 4x^2 + 8x -7 Find the vertex using the roots (different procedure than…

A: The quadratic formula for finding roots for ax2+bx+c=0 is: x=-b±b2-4ac2a The given function is…

Q: Show the work steps for finding the roots of x* – 13x² + 36 algebraically.

A:

Q: Determine the a) roots, b) ve Illustrate its graph. 1. f(x) = x² – 8x + 15

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

Q: Use the quadratic formula to find the zeros of the function f(x) = 4x2 + 8x - 3.

A: Our Aim is to find the zeros of the function f(x)=4x2+8x-3using quadratic formula.

Q: If f(x) = x4 + 2x3-5x2-x+6, P what would be the list of possible rational roots? Arrange your list…

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

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Q: The following equation is given. x - 3x2 - 25x + 75=0 a. List all rational roots that are possible…

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.