4) Consider f(x) = x³ + 8x² + 16x a. What are the zeros? b. What are the multiplicities of those zeros? c. What do the multiplicities in part b tell us about the graph of f(x)?

Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

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: 24. Use the Factor Theorem to determine whether x – c is - a factor of f (x). f (x) = x* – 5x2 – 36…

A: Given, fx=x4-5x2-36  ;        x-3

Q: Find the horizontal asymptote of f(x) = y = 5x + 2x³ +3 5x³x2-4

A:

Q: True or False If the discriminant b2 - 4ac = 0, the graphof f(x) = ax2 + bx + c, a ≠ 0, will touch…

A: Quadratic equations ax2 + bx + c = 0 ,a ≠ 0 discriminant D =  b2 - 4ac

Q: Find the maximum number of X- intercepts that f(X) = -9X + 15X– 8X² + 2X + 37 may have. %3D None of…

A: Maximum number o x- intercepts are

Q: Find the minimum and maximum of 3+3x2-7x on the interval [0,3].

A:

Q: Find all the maximum and minimum points of f(x) = x4 – 8x2.

A: As we are not given any particular, we will take the help of the graph here.

Q: 6. Determine the vertex and the axis of symmetry for f(x) = 3x2 – 5x + 12

A: We have given a quadratic function.  We have to find the vertex and line of symmetry

Q: Determine the real root of f(x)= -25+82x-90x2+44x3-8x4+0.7x5. Iterate until the estimated error…

A: given: fx = -25+82x-90x2+44x3-8x4+0.7x5To find root we put fx =0. ⇒-25+82x-90x2+44x3-8x4+0.7x5 = 0…

Q: Determine a value for p so that f(x)=px2−18x−7 has a maximum at x=−2

A:

Q: Find the potential rational zero of f(x)=5x^(4)+2x^(2)-6x-5.

A:

Q: 11.What are the zeros of the function represented by the quadratic equa g (x) =- (x-4)?

A:

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 the intercepts and the vertical asymptote of   f(x)=x2−4x−5/x−6 Enter the intercepts as…

A:

Q: Use the Intermediate Value Theorem to show that f(x) = 6x2 + 5x - 6 has a real zero on the interval…

A: Given, fx=6x2+5x-6 in -1,2

Q: What is the maximum and minimum value of x^3 - 2^x = 0

A:

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

A:

Q: Find the horizontal asymptote of За + За3 + 1 y = f(x) - 5x3 + 4x2 -

A:

Q: 29. Find x-intercepts(roots) and their multiplicities of the function by factoring: y = 3xt + 12x3 +…

A:

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

A:

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: Find the horizontal asymptote of g(x) = 12x2 / 3x2 + 1

A: Given: The function gx=12x23x2-1, To find: The horizontal asymptote of gx.

Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: Form graph we need to look multiplicity of zeros and how many times graph touch or crosses x axis

Q: Find the largest damain af the function : 2X+2X-1 x²+3X-10

A: Given  y = 2x2+2x-1x2+3x-10 To find the domain of the above function, we have to find the value of x…

Q: Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.

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

Q: Use desmos to find the vertex for f (x) = x² – 6x + 13. -

A: Given :- f(x)=x2-6x+13 To find:- use desmos to find vertex

Q: For f(x)=2x4 +2x3-1 and g(x)=2x3 +2x+3 in Z4[x], the degree of fg is 7. True or false

A:

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: What are the zeros of the function? What are their multiplicities? f(x) = 4x^3 - 12x^2 - 16x

A: fx = 4x3 -12x2 -16x               for zeros of  fx , function should be zero.            →…

Q: 5. Determine the zeros of 2x4 - 11x f(x) Verify your solution usir -

A: Given query is to find the factors of the function.

Q: 1. Use the Intermediate Value Theorem to show f(x)= 2x +6x² – 3 has a zero between a = -3 and b =…

A: I am attaching image so that you understand each and every step.

Q: Given the function C(x) = (x – 3)( – 9x + 5)*(x – 7)°, its roots are and their multiplicities are

A: Given, C(x)=(x-3)(-9x+5)4(x-7)9

Q: Discuss the maximum and minimum of x2+y2+6x+12

A:

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

A:

Q: Is f(x) = x^2 + 1 a standard form or a vertex form or BOTH? OR is it a factored form? (I'm confused…

A: Solution for first part. Standard form of quadratic equation is f(x)=ax2+bx+c and vertex form is…

Q: Give the boundary behavior of P(x) = -3(x-2)^7(x^2+3)^5(2x+7)^4. Also, give the zeros of P(x),…

A:

Q: 8) If x = 2 is a zero, what are the other zeros for x3 – x2 - x- 2 = 0 ?

A:

Q: Find a zero of f(x)=9x3 - 10x +1 by finding a fixed point of x=g(x)=0.9x³+0.1. %D

A: see  below the calculation and answer

Q: If the graph of the quadratic function f(x) = x2 + 5dx + d2 + 1 has its vertex on the x-axis, what…

A:

Q: 4) Consider f(x) = x* + 10x³ + 25x² a. What are the zeros? b. What are the multiplicities of those…

A:

Q: Find the zeros of: f(x): x4-4x2-5

A: Given: -

Q: 2 Find the maximum value of 7x1 + X2 + X3 + 7x4 subject to the condition that x +x, +x +x = 100.

A:

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

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by…

A:

Q: Is f(x) = x^2 + 1 a standard form or a vertex form or both? (I'm confused because it has 2 terms,…

A: Yes, fx=x2+1 is a standard form and a vertex form both. The standard form is given by fx=ax2+bx+c…

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

A: The given polynomial is cubic in nature.

Q: What is the oblique asymptote of (x-3)(x+4)(x+1) / x2 - 4

A: Topic = Functions  oblique asymptote = x + 2

Q: Sketch the quadratic f(x) = (x-4)² - 5 main points from the parent function, appropriate manner.

A: Topic:- function

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

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.