f(x) = -4x + x² + x + 6

Q: Find the rational zeros of the function g(x) = x3 + 8x2 + 12x + 18.

A:

Q: Find all the rational zeros of the function f(x) = 2x - 9x4 + 9x³ - 3x² + 7x + 6. -1, 2 x = 을 3,2 x…

A: Roots satisfyf(x)=0f(x)=2x5-9x4+9x3-3x2+7x+6f(-1)=-24f(1)=12Options, A and E ruled…

Q: In Problem, form a polynomial function whose real zeros and degree are given.Answers will vary…

A: Given: Zeros: - 1, multiplicity 1; 3, multiplicity 2; degree 3

Q: The degree of the polynomial function f(x) = -2x3(x - 1)(x + 5) is_______ . The leading coefficient…

A:

Q: In Problem ,use the given zero to find the remaining zeros of each function

A: Solution:Givenf(x)=2x4+5x3+5x2+20x-12,   zero:-2i

Q: Find the rational zeros of the function f(x) = 3x3 − 19x2 + 33x − 9.

A: f(x)=3x3-19x2+33x-9

Q: In Problem,tell the maximum number of real zeros that each polynomial function may have.Do not…

A: f(x)=x5+x4+x2+x+1

Q: In Problem,find the complex zeros of each polynomial function.Write f in factored form.

A: The given function is fx=x3-1. Compute the complex zeros as follows. fx=0x3-1=0x-1 x2+x+1=0x=1  or…

Q: Find the zeros of f(x) = 2x2 - 9x + 8.

A: The given equation is, fx=2x2-9x+8 To find the zeroes of the given equation, we use the quadratic…

Q: if the zeros of the polynomial f(x) =x3-3x2+x+1 are a-b,a,a+b.find a and b

A:

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

A: We have given function;

Q: In Problem, form a polynomial function whose real zeros and degree are given.Answers will vary…

A:

Q: In Problem,form a polynomial function f(x) with real coefficients having the given degree and…

A: According to conjugate pairs theorem , if the zeros the polynomial is a non real zeros , the those…

Q: In Problem,use the Rational Zeros Theorem to find all the real zeros of each polynomial function.Use…

A: find the rational zeros of 2x3+x2+2x+1. Since all coefficients are integers, we can apply the…

Q: In Problem,use the Rational Zeros Theorem to find all the real zeros of each polynomial function.Use…

A: Given :           f(x) = 2x3 - 4x2 - 10x + 20   To find the zeros of f(x).

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

A: Given:         h(x)=x3−19x+30

Q: In Problem,tell the maximum number of real zeros that each polynomial function may have.Do not…

A: In Problem,tell the maximum number of real zeros that each polynomial function may have.Do not…

Q: In Problem,construct a polynomial function that might have the given graph.(More than one answer may…

A: Given the figure of graph is The above graph intersects the x-axis at the points x = -1, x = 1 and…

Q: In Problem,tell the maximum number of real zeros that each polynomial function may have.Do not…

A: Given: f(x)= 2x6-3x2-x+1 To find maximum number of real  zeros of the polynomial

Q: In Problem,use the Rational Zeros Theorem to find all the real zeros of each polynomial function.Use…

A: In Problem, use the Rational Zeros Theorem to find all the real zeros of each polynomial function.…

Q: When a polynomial function f is divided by x-c , the remainder is .....................

A: Remainder theorem states that if a polynomial px is divided by x-a then  the remainder is pa.…

Q: How to factor f(x)= 5x^4+3x^2-2 so you can get the zeros of the function

A: We have to write 3x^2 as 5x^2-2x^2.

Q: Find the zeros of f(X) = X^3 + 4X^2– 3X– 18

A:

Q: If the zeros of the polynomial f (x) =x3-3x2+x+1 are a-b,a,a+b .find

A:

Q: In Problem,tell the maximum number of real zeros that each polynomial function may have.Do not…

A: Given: fx=x4+5x3-2  ……1

Q: In Problem,construct a polynomial function f with the given characteristics.

A: According to the question,   The polynomial will be, y=kx--3x-1x-4y=kx+3x-1x-4…

Q: one of the zero of the quadratic polynomial f(x)=4x2-8kx-9 is negative of the other , then find the…

A:

Q: In Problem, form a polynomial function whose real zeros and degree are given.Answers will vary…

A: -4, -1, 2, 3

Q: In Problem,use the Rational Zeros Theorem to find all the real zeros of each polynomial function.Use…

A: f(x)=4x4+5x3+9x2+10x+2

Q: If one of the zeroes of the quadratic polynomial f(x) = 4x2 - 8kx - 9 is equal in magnitude but…

A:

Q: In Problem,list the potential rational zeros of each polynomial function.Do not attempt to find the…

A: We will be using  Descartes' sign rule.Given function - f(x) =-6x3-x2+x+10In this function, we see…

Q: If the zeros of the polynomial f (x) =x3-3x2+x+1 are a-b,a,a+b .find a and b

A: We can solve it using the properties of cubic polynomial as below

Q: In Problem,find bounds on the real zeros of each polynomial function.

A: Given, fx=4x5-x4+2x3-2x2+x-1.   The theorem on bounds is given as follows:…

Q: Find the zeros of the polynomial f (x)=x3-5x2-16x+80  ,if it's two zeros are equals tin magnitude…

A: The no. of roots of a polynomial is depend on the degree of polynomial Since, degree of this…

Q: In Problem,tell the maximum number of real zeros that each polynomial function may have.Do not…

A: Given function is: f(x) = x6-1 We have to find the number of real zeroes of the above polynomial.

Q: In Problem,find bounds on the real zeros of each polynomial function.

A: x4-3x2-4=0Rewrite the equation with u=x2 and u2=x4u2-3u-4=0Solving, we get u=4, u=-1Substitute back…

Q: In Problem,find bounds on the real zeros of each polynomial function.

A: The zeroes of the function are the values of the variable that gives the value of the function is 0.…

Q: In Problem,tell the maximum number of real zeros that each polynomial function may have.Do not…

A: Consider the given polynomial function. fx=-3x5+4x4+2   The maximum number of real zeros of a…

Q: In Problem, form a polynomial function whose real zeros and degree are given.Answers will vary…

A: The equation of three-degree polynomial also called cubic polynomial is in the form of…

Q: In Problem, form a polynomial function whose real zeros and degree are given.Answers will vary…

A: It is known that if r is a zero of the polynomial function then x-r is a factor. Given that -3, 0…

Q: Find the zeros of the polynomial funtion. x) = x 3+7x2–4x -28

A: To find the zeroes of the polynomial fx=x3+7x2-4x-28. Solution: Finding zeroes of the polynomial.…

Q: Find the possible rational zeros of the functions: f(x) =-x +3x² +4 g(x)= 2x +6x-11x+8

A: Given:       fx=-x4+3x2+4 Since all coefficients are integers, we can apply the rational zeros…

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 zeros of the polynomial function f(x) = 2x3 - 2x. Then graph the function.

A: Given polynomial function is fx=2x3-2x. Factoring the given polynomial. fx=2x3-2x=2xx2-1=2xx+1x-1…

Q: find the zeros of the polynomial f(x) =x3 -5x2 +16x+80,if it's two zeros are equal in magnitude but…

A: Given,           The polynomial is fx=x3-5x2-16x+80.

Q: Find all rational zeroes of f(x). f(x)=4x4−17x2+4

A:

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

A: Given: -

Q: What are the rational zeros of the function f(x)= x^3+3x^2-x-3?

A: Please refer the attached image for complete solution.

Q: One factor of f(x) = x³ – 7x2 - 20x + 96 is x - 3. What are the zeros of f(x)? (Enter your answers…

A: Given:The given function is f(x)=x3-7x2-20x+96and one factor is given i.e. (x-3) To…

Q: Find the x- and y-intercepts of the rational function.

A: sx=3xx-5 To find x-intercepts, put sx=0, we get ⇒3xx-5=0⇒3x=0⇒x=0 Therefore x-intercept is 0, 0.

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.