Use Descartes' rule of signs to determine the possible number of positive and negative real zeros, counting multiplicities, of the function, f(x) = 2x* + x - 7x? - 3x+3

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: Determine the possible numbers of positive and negative real zeros of f(x) = 2x3 + 5x2 + x + 8.

A: To find the possible numbers of positive and negative real zeros, use Descartes' Rule of signs.  If…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: When we have a polynomial function in the form; we test its behaviour with the leading coefficient…

Q: Find all zeros of f(x) = x4 - 4x2.

A:

Q: List all the zeros of the polynomial function f (x) =x* - 2r* - 6x²+22x – 15 Show all work,

A: Zeros of any function f(x) are the value of variable x for which value of function f(x) is 0.…

Q: use the rational zero test to find the possible zeros of: f(x)=3x^3-4x^2-5x+2

A: According to the problem we have,

Q: How do I find the vertex and the zeros of f(x) = x2 - 4x +13

A: Given that , fx=x2-4x+13 find vertex and zeros of fx.

Q: Find all real zeros of f(x) = −2x4 + 2x2. Then determine the maximum possible number of turning…

A: To find the zero of the polynomial equate the fx=0.    -2x4+2x2=0-2x2x2-1=0 So, -2x2=0     x2=0…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A:

Q: Find the real zeros of f(x) = 5x5 + 44x4 + 116x3 + 95x2 - 4x - 4

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: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A:

Q: Find all real zeros of the function f(x) = 16x3 − 12x2 − 4x + 3.

A: The zeros of the function mean the value of the x for which the value of the function is equal to…

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 4x* - 7x2 + 2 has a real zero…

A: topic - intermediate value theorem

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: Here the degree of the given polynomial is 4, an even number and the leading coefficient is 5, a…

Q: Find all real zeros of f(x) = x3 − 12x2 + 36x. Then determine the maximum possible number of turning…

A:

Q: Find all zeros of f(x) = x3 + 2x2 - 4x - 8.

A: Given: fx=x3+2x2-4x-8 for find zeros of given function we equate given function we zero and simplify…

Q: Determine the number of zeros of the polynomial function. f(x) = x³ + 7x2 + 2

A:

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: Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros…

A: Given  The function is fx=x5-x4+x3-x2+x-8.

Q: Use Descartes rule of signs to determine the number of all real zeroes of -2x5+3x3+2x-x-3

A:

Q: List all possible rational zeros of f(x) = -x4 + 3x2 + 4.

A: Given:fx=-x4+3x2+4Rational zero theorem:If fx =an xn+an-1xn-1+...........+a1x+a0pq where is reduced…

Q: If function g has the factors (x − 7) and (x + 6), what are the zeros of function g?

A: Given.

Q: Use Descartes' rule of signs to determine the possible number of positive and negative real zeros,…

A:

Q: List all possible rational zeros of f(x) = 15x3 + 14x2 - 3x - 2.

A: We have to find the all possible rational zeros of f(x)=15x3+14x2-3x-2.

Q: find the zeros and multiplicities of the polynomial f(x)=x^3-x^2-x+1

A:

Q: Find all zeros of f(x) = -x4 + 4x3 - 4x2.

A: It is given that, f(x)=-x4+4x3-4x2 We have to find all zeros.…

Q: Determine the possible numbers of positive and negative real zeros of f(x) = x4 - 14x3 + 71x2 - 154x…

A: Given function is fx=x4-14x3+71x2-154x+120. Descartes' rule of sign is used to determine the number…

Q: Find the x-intercepts of the polynomial function. f(x) = x3 + x2 - 64x – 64 (x, f(x)) = | (smallest…

A: given function :

Q: Determine Number of Zeroes Num of the Polynomial function: F(x)=x²₁²-9x Zero (5)

A: We have to find zeros

Q: Find the zeros of F(x) = x3+6x2+12x+8.

A:

Q: Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros…

A: topic -descartes rule of signs

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: Given, f(x)=5x3+7x2-x+9

Q: Find all zeros of f(x)= x³ - 7x2 +11x+ 19.

A:

Q: Find the number of possible positive zeros of f(x)= 2x^4+14x^3-35x^2

A:

Q: Determine the multiplicity of 1 as a root of a polynomial f(x) = x³ 3x¹ +4x³ − 4x² + 3x − 1

A:

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: Consider the provided function, fx=-11x4-6x2+x+3 Use the Leading Coefficient Test to determine the…

Q: find the maximum number of real zeroes of the polynomial  f(x)=-2x7-3x8-6-5x5

A: Given by f(x)=-2x7-3x8-6-5x5 f(-x) = 2 x^7 – 3 x^8 –6 + 5x^5 There are  three changes s, three…

Q: Find all zeros of ƒ (x) = x° + 4x² + x + 4.

A:

Q: Find the zeros of f(x) = 2x^3 - 12x^2 - 6x?

A: Given: f(x) = 2x3 - 12x2 - 6x To find: Zeros of the given function.

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: The given polynomial is  f(x)=11x3-6x2+x+3 Leading  Coefficient Test:-

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

A: Given: -

Q: Use Descartes' Rule of Signs to determine the possible number of positive real zero and the possible…

A: Given: -

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: fx=11x3-6x2+x+3

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

A: The given polynomial is cubic in nature.

Q: Determine the possible numbers of positive and negative real zeros of f(x) = x3 + 2x2 + 5x + 4.

A: fx=x3+2x2+5x+4 Here leading coefficient is 1 and the constant term is 4. Now the factors of constant…

Q: Show that the polynomial function f(x) = 3x3 - 10x + 9 has a real zero between -3 and -2.

A: Given that, fx=3x3-10x+9

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.