f(x) = 2x3 + 6x2 + 5x + 2 a. List all possible rational zeros.b. Use synthetic division to test the possible rational zeros and find an actual zero.c. Use the quotient from part (b) to find the remaining zeros of thepolynomial function.

Q: 2x3 # 2x² -9x + 9

A:

Q: Evaluate at the given value using synthetic division. f (x) = x + 8x2 + 15x +3 at x = -3 f(-3)

A:

Q: Given: f(x) = x3 - 4x2 + 8x - 5. Solve, a. List all possible rational zeros. b. Use synthetic…

A: a) The lead coefficient=1  The constant= -5

Q: Find all rational zeros of: f(x) = 2r – 113 + 14x² – 11x + 12.

A: f(x)=2x4-11x3+14x2-11x+12

Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x? – 9x – 13.…

A:

Q: Consider the rational function 3x4 + 8x + 19 f(x) 8x2 – 13 a. What monomial expression best…

A:

Q: State the possible rational zeros for the function. S(x) = x² + 9x- 12

A:

Q: Sketch the graph of the function h(x) = 3x2 − x4 by (a) applying the Leading Coefficient Test, (b)…

A: The term with the highest power is the most influential in plotting the graph of the function thus…

Q: Sketch the graph of the function g(x) = −x2 + 10x − 16 by (a) applying the Leading Coefficient Test,…

A: Given: Sketch the graph of the function g(x) = −x2 + 10x − 16 by (a) applying the Leading…

Q: Find the domain of the rational function f(x) =4x2/(x2 + 3) and graph the function.

A: We have given function;

Q: snip

A:

Q: Use the Rational Zero Theorem to find the solutions to the equation x³ + x² – 5x – 5 = 0. - -

A: We have to use rotational zero theorem to find the roots of the equation.

Q: Find the rational zeros of the function h(x) = x3 − 19x + 30.

A: Given:         h(x)=x3−19x+30

Q: Use synthetic division to show that c is a zero of f (x) .

A: fx=3x4+8x3-2x2-10x+4,   c=-2 By using synthetic division, we get -2 3        8        -2        -10…

Q: List all the possible rational rooots  for the polynomial F(X)=2x^2 -9x+3

A: By quadratic formula for roots of quadratic equation

Q: 8.) For the given polynomial, list all potential rational zeros, use the calculator, and synthetic…

A: We have given the polynomial f(x)=12x3+37x2+2x-3To find all rational zeroes and using synthetic…

Q: Sketch the graph of the function f(x) = 3x3 − 15x2 + 18x by (a) applying the Leading Coefficient…

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: 1. List all of the possible Rational zeros for the following polynomial: Then find all of the zeros…

A: Given, g(x)=x4-13x2+36

Q: Find the domain of the rational function. 2x2 - 4 f(x) = 3x2 + 6x - 45 %3D

A:

Q: Find all the rational zeros of the function. x3 + 18x2 + 105x + 200

A:

Q: Given f(x) = 2x³ - 4x + 42. %3D a) Find a rational zeros of f(x) b) Find the other factors using…

A:

Q: List the potential rational zeros of f(x) = x^5 − x^4 + 2x^2 + 3, but donot attempt to find the…

A:

Q: Find all zeros of the function: f(x)=8x^3+22 x^2−9x−9, First, list all the possible rational…

A:

Q: Use the Rational Zero Theorem to find all rational zeros of f (x) = 2x3 + 6æ² + 5x + 2 Then apply…

A:

Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 3x +7x +147x…

A: givenf(x)=3x3+7x2+147x+343a.(3x3+7x2)+(147x+343)=0x2(3x+7)+72(3x+7)=0

Q: Given f(x) = 2x3 - 4x + 42. Find a rational zeros of f(x)

A: Given problem :-  f(x) = 2x3 - 4x + 42.   Find a rational zeros of f(x)

Q: Find all rational zeros of: f(x) = 2x* – 11r³ + 14a² – 11r + 12.

A: We need to find the rational zeros of the given polynomial.  By Rational zero theorem, a polynomial…

Q: Find the domain of the rational function f(x) =5x/(x - 4).

A: Consider the provided function, fx=5xx-4 Find the domain of the rational function. The domain of the…

Q: Find the domain of the rational function: f(x) =7x/(x - 8)

A: Given,          fx=7xx-8

Q: Based on your answers to the previous problem, draw a sketch of the polynomial f (x) = -2(x+4)* (x+…

A: The given polynomial function: fx=-2x+43x+2x-32

Q: Find the domain of the rational function. R(x)=(-3x2)/(x2+7x-30)

A:

Q: Use your knowledge of the Rational Roots Theorem to find the zeros of f(x)=x²-3x² - 10x + 24. Then,…

A: Ggg

Q: Find the domain of the rational function: g(x) = 2x2/(x - 2)(x + 6)

A: Given function is gx=2x2x-2x+6. Domain is the value for x for which function is defined. Here, given…

Q: Find all rational zeros of: f(x) = 2x – 11 + 14.x² – 11r + 12.

A: Given polynomial is: f(x)=2x4-11x3+14x2-11x+12 In order to find the rational root, we use rational…

Q: Use synthetic division to divide f(x) = 2x3 + x2 - 13x + 6 by x - 2. Use the result to find all…

A: Given fx=2x3+x2-13x+6. We have to divide fx by x-2 using synthetic division. 221-136410-6 —————    2…

Q: use the synthetic division to divide f(x)=x^3 - 9x^2 + 26x - 24 by x-3. use the result to find all…

A: Given:- use the synthetic division to divide f(x)=x^3 - 9x^2 + 26x - 24 by x-3 To find:- Zeros of…

Q: list the potential rational zeroes for this polynomial function f(x)= 3x^5 - x^2 + 2x + 24

A:

Q: List all the possible rational roots for the polynomial F(X)=x^5 +5x^3 +32

A: Consider the function F(X)=x5+5x3+32

Q: Given f(x) = 2x3 - 4x + 42. a) Find a rational zeros of f(x) b) Find the other factors using…

A: Using rational zero theorem:f(x)=2x3-4x+42p=42q=2Possible zeros:pq=422=±1,±2,±3, ±7±2, ±1pq=±1, ±12,…

Q: Given: f(x) = x3 + x2 - 4x - 4. Solve,  a. List all possible rational zeros. b. Use synthetic…

A: Given polynomial function is: f(x) = x^3 + x^2 - 4x - 4 f(x) = x^2(x + 1) - 4(x + 1) f(x) = (x +…

Q: For f(x) = 96x2 – 9x +11 8x2 + 3x -1 3. if a horizontal asymptote exists, what is its equation ?

A: To find the horizontal asymptote we have to find the limit x→±∞ of the function.…

Q: Evaluate at the given value using synthetic division. f (x) = x+ 8x2 + 15x +3 at x = -3 f(-3)

A: f(x) = x3 +8x2 +15x +3

Q: State the degree of the polynomial function.  (If an answer does not exist, enter DNE). f(x) = x2-1…

A:

Q: Find the formula for a third degree polynomial with a zero at x = -5, a double zero at x = 3, and y…

A: Given that the polynomial has a zero at x=-5 So (x+5) is a factor of polynomial. Given that the…

Q: Given: f(x) = x3 - 2x2 - 11x + 12. Solve,  a. List all possible rational zeros. b. Use synthetic…

A: Given :  f (x) = x3 - 2 x2 - 11 x + 12  .   To determine :  (a) List all possible rational zeros.…

Q: Write the improper rational function as the sum of a polynomial function and a proper rational…

A:

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

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.