a) Determine the value(s) of k so that the binomial is a factor of the polynomial. x² – 6x – 7, x+ k

Q: could you please help me with this one? thank you

A:

Q: The polynomial p(x) = -2x°+ 3x +4 is given. Which conclusion is valid if p(1)

A:

Q: Is the given binomial a factor of the given polynomial? If so, write the polynomial as a product of…

A:

Q: 10. Which of the following polynomials is NOT divisible by (3x+ 1)? A. 6x2 + 17x+ 5 B. 3x - 4x2+…

A: Use remainder theorem

Q: The binomial X+4 is a factor of which polynomial? O A.x2 +2x-24 о В. х3—10х? +33х - 36 OCX3- 2x?…

A: To find that x+4 is factor of which polynomial

Q: Use the Remainder Theorem to find the remainder when e ded by the corresponding binomial. 1. x3+2x2+…

A: using remainder theorem to find the remainder when the polynomial divided by corresponding binomial1…

Q: (a) Construct a table containing the values of the fourth- degree polynomials f(x) = 2x", g(x) = 2r…

A: Given: The functions, f(x) = 2x4g(x) = 2x4-5x2+1h(x) = 2x4+5x2-1k(x) = 2x4-x3+2xx = ±20, ±40, ±60

Q: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 13) Use the Factor Theorem A) Is (x-1) a factor of f(x) = 5x* -9x' +19x-27x+12. If it is, then find…

A:

Q: Consider the polynomial P (x)=kx' + 3x + 4x + 2. 3. 2. %3D Find the value of k such that the…

A: The solution of the problem is given in the next step.

Q: 1. The number of courses that Felix takes in this cycle is numerically equal to the number of prime…

A:

Q: Use the factor theorem to determine if the given binomial is a factor of f (x). 9) f (x)= 2x3 + x2 –…

A: Find the given binomial is a factor of f(x).

Q: The polynomial p(x) = 5x-9 - 972 6x +8 has a known factor of (a+1). Rewrite p(x) as a product of…

A:

Q: Give a polynomial that has zeros of 13, 5i, and −5i, and has a value of −680 when x=3. Write the…

A: To determine the polynomial in standard form.

Q: determine the degree of the given polynomials. 5x3y2 - 6x3y3

A: The given polynomial is 5x3y2-6x3y3. Recall, "The degree of a polynomial is the degree of its terms…

Q: Which is true about the polynomial -3xy2 + 5x3y? OIt is a binomial with a degree of 2. OItis a…

A:

Q: 3.4. Do the polynomials x3 + 2x, x² + x + 1, x³ + 5 generate (span) P3? Justify your answer.

A:

Q: e king polynomial of the given board is x2+11x+1.

A: Please find the answer innext step

Q: 2. Which of the following polynomials cannot be factored by factoring out a GCF? a. 9x2 – 8 1x + 27…

A:

Q: Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. s(x) =…

A:

Q: 1. Which of these polynomials could have (x - 2) as a factor? Select all that apply. *

A: We have to find which polynomial has a factor (x-2).

Q: B: x - 6x + x

A: The solution are next step..

Q: If k is a constant, what is the value of k such that the polynomial k?x3 - 6kx + 9 is divisible by x…

A:

Q: 1. Classify the following polynomial by degree and by the number of terms 3. 2 7x° + 2x + 3x + 9

A:

Q: Find k such that the Polynomial P(x) 2x3 + ka? – 2x – 5 is divisible by x – 3. | | k =

A:

Q: 3. Find the greatest common divisor of: (a) The polynomials r³ + x² + x and r³ +x* +x² + x in Z2.

A: The given polynomials are: x3+x2+x, x5+x4+x2+x The given group is ℤ2.

Q: P(x) = 3x – 4x3 + 2x² + 3x - 6 How many zeros does the above polynomial have?

A: We have to find zeros

Q: The polynomial p(x) = - 2x ^ 3 + 3x + 4 is given. Which conclusion is valid if p(1) = 5

A: Given ,  The polynomial  p(x) = -2x3 + 3x + 4  We have to find valid conclusion if p(1) = 5

Q: 1. Use the Factor Theorem to determine whether the given binomial of the form x-c is a factor of the…

A: We have to determine given factor is a factor of given polynomial.

Q: When the polynomial (5x + 4)(4x² + 6x + 8) is expanded, simplified, and written in descending powers…

A:

Q: 32. If k is a constant, what is the value of k such that the polynomial k2x3 - 6kx +9 is divisible…

A: If the polynomial is divisible by -1 then the remainder will be 0.

Q: x5 + (2i – 1)x3 - 2ix – 5 a = 5+i

A:

Q: If k is a constant, what is the value of k such that the polynomial k?x3 – 6kx + 9 is divisible by x…

A:

Q: D: x2 - x + 1

A: Which type of polynomial

Q: 1. Find the value of k if x- 2 is a factor of the polynomial p(x) = kx2 – 5x + k %3D

A:

Q: 10. (x + 2); P(x) = x* - 3x3 + 5x - 2 %3D

A: We have to solve

Q: The interpolating polynomial p(x) of degree 3 of f(x) = 6x4 – 2a3 + 9 is p(x) = -23 + 9. Select one:…

A: From interpolation formula we know that every polynomial f(x)of order n is approximated by a…

Q: 10). The polynomial 2r +x+3 in terms of Legendre polynomials is () 을 (4P2-3P, + 11Po) (ü)를 (4P2 +…

A: Given polynomial is 2x2+x+3, Now the polynomial is, Pn(x)=12nn!dndxn(x2-1)n Where,…

Q: A factor of the polynomial given below is: 4x3 — 4x? — х +1 O 2x - 1 О х-1 O 2x + 1 O all of the…

A:

Q: 10.Determine if the given binomial is a factor of the polynomial, yes or no P(x) = x 3 +8x² +11x -…

A: Consider a polynomial p(x). If, At x=a, value of p(x) =0, then (x-a) is a factor of polynomial p(x).

Q: Which of the following binomials is/are factors of the polynomial function f(x) =x – 13x – 12 I. х—…

A:

Q: Determine if the given binomial is a factor of the polynomial, yes or no P(x) = x 3 + 11x - 20 by x…

A:

Q: Find a polynomial p such that p(−1) = 0, p(4) = 0, and p(2) = 3

A: solution  let consider the desired polynomial is p(x) where p(x)=ax2 +bx+c…

Q: Use the factor theorem to determine if the given binomial is a factor of f(x). 22) 22) fx)+ 8x3…

A: To decide if the given binomial divides the polynomial f(x), using the factor theorem

Q: In the polynomial P(x)=(x-1)4(x+3)(2x+3)3(x-6)2 the multiplicity of the zero 6 is?

A: Given:

Q: The polynomial is A.monomial B.binomial C.trinomial D.None of the above and has a degree of _.

A:

Q: Find the value of k so that when the given polynomial is divided by the given binomial, gives the…

A: Given: p(x)=x3-8x2+3x+k ,     x+2 ,      r=-4

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.