consider two polynomials P(x) =6x+1 and Q(x)=4x2-3x+2 carry out the indicated operation and simplify (a.)P(x) times Q(x)= b.) P(x) + Q(x)= c.) P(x) -Q(x)=

Q: Find a polynomial function with real coefficients that has the given zeros.

A: The given zeros are -52, -5, 1+3i

Q: Is the polynomial x +x - 12x +3 divisible by x- 3?

A:

Q: Find a polynomial function with real coefficients that has the given zeros.4, −3i

A: Given: Zeros: 4, -3i

Q: Is x+2 a factor of x^5+8x^4−6x^3−3x^2−7x−146

A: To prove that x+2 is factor of given equation.

Q: Divide x – x4 + 3x³ + 2x2 – x + 1 by x³ – x² + 1, finding the quotient q(x) and remainder r(x).…

A:

Q: What is the leading term of the polynomial (v2z – 3x

A: The given polynomial is:  2x2-3x+963x-1433

Q: What are all the zeros of the polynomial function fx)=x-2r-8r+10x+152 x- -1, x-3, x + V5 A x=1, x =…

A:

Q: Express f(x)= 4+ 6 x² + 7 x + 2 in terms of Legendre Polynomials.

A:

Q: Consider two polynomials P (x)=4x-5 and Q(x)=3x2+7x-2 (a.) P(x) times Q(x)= (b.) P(-5)+Q(-3)=…

A:

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,.…

A:

Q: How can you determine whether a linear binomial is a factor of a polynomial without using the…

A: to find : How can you determine whether a linear binomial is a factor of a polynomial without using…

Q: Subtract the polynomials and simplify. (2x*+ 3x+4)– (8x°+x+7)=0 (2x°+ 3x + 4) – (s +x+7)=[] 8x +x+7,

A: Solving the problem by doing substraction.

Q: Determine whether the first polynomial can be expressed as a linear combination of other two…

A: The given polynomials are  2x^3 − 2x^2 + 12x − 6, x^3 − 2x^2 − 5x − 3, 3x^3 − 5x^2 −4x − 9

Q: subtract the polynomials using the vertical format. 2x3 - x + 6 from x3 + 4x2 + 1

A: The polynomials are 2x3-x+6 and x3+4x2+1 Two numbers a and b , subtract a from b means , From b…

Q: Express the polynomial x5 + 3x3 + x2 + 2x as a product of its irreducible factors in Z5[x].

A: Given: [May be the question is wrong, otherwise the given solution is correct.] The given polynomial…

Q: Find the equation of a 4th degree polynomial that has zeros at x=-7x=−7,  x=2x=2,  x=3x=3  and…

A: Given that, Polynomial has zeros at x = -7, x = 2, x = 3, x = 4 and we have to find the polynomial…

Q: What is the leading coefficient of athird degree polynomial function that has an output of 1,272…

A:

Q: What is the largest multiplicity in the factored polynomial y = (x2 – 1)(x + 2)(x + 4)?

A: Here function is :  y = (x2 - 1) (x +2 ) (x+4)  It can be written as  y = ( x - 1)( x + 1 )( x + 2)(…

Q: How does the linear factorization of f(x), that is, AX)=an (x-c1)(x-c2) (x-C). show that a…

A: Here the linear factorization of the function f(x) is given as:…

Q: The polynomial -6x + 50x+ ax+ 24 has factors x-1 and 2x + 1. Determine the value of a.

A: Suppose px be the given polynomial such that px=-6x3+50x2+ax+24 And the factors of the polynomial…

Q: Consider the polynomial f (x) = 3-5x - x3. Using the forward-divided difference

A: Given, the polynomial                         f(x)=3-5x-x3

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities?…

A: We have to find the zeroes and their multiplicities.

Q: Prove that (x+2) is a factor of 3x'+8x+x-6 and find the other factor.

A: we have to find factor of the polinomial

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

A:

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: Give the degree of the polynomial. 7 9 -vy

A:

Q: For the Polynomial POX)= ²-2x-1Bx-10: 2. :) List all f the possible values of Zeros for Pa),…

A:

Q: 5) If the leading term of a polynomial is -2x18, what do you know about the end behavior? As x → 0…

A: We will find the end behavior of the polynomial when Leading term is given.

Q: Find a polynomial of degree four that has zeros -3, 0, 1, and 5, and the coefficient of x3 is -6.

A: We need to find a polynomial of degree four that has zeros -3, 0, 1, and 5, and the coefficient of…

Q: What is the polynomial, in factored form, for the function with the leading coefficient 6, and zeros…

A:

Q: Do the polynomials x³ + 2x – 4, x³ + x² – 3x + 1, and æ³ + 5 generate P3(R)? Explain. - -

A: Here generate means span.  The span of a set of vectors is the set of all linear combinations of the…

Q: Find the sum of the polynomials -3x +7x-8 and 5x-7x+2. Subtract -x +5x-3 from 6x2-3x-7. Express the…

A: We can find the answers as below

Q: 1. Let (x - 1) be a factor of 3x³ - 8x² + 3x + 2. Find the other factors of the polynomial.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve the polynomials 3y-{[-4(x-y)+(2x - y)]-3x -[(5y-3(x-2y)]-2(-6x + y)}

A: Given polynomial,  3y-{[-4(x-y)+(2x - y)]-3x -[(5y-3(x-2y)]-2(-6x + y)}

Q: Calculate the real values of x and y such that (x + y)° is bigger than 8. hinh ai is a solution of…

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

Q: 1. Find the sum of the polynomials: (5x°-2x+x)+(4x° – 3xª +2x³-5x) O x5 +3x4-4x3+6x O 9x5+3x4-4x³+6x…

A:

Q: Find the sum of the polynomials: 8x3 - 2x2 + 6x - 2 and 3x4 - 2x3 + x2 + x

A: To find the sum of polynomials: 8x3-2x2+6x-2 and 3x4-2x3+x2+x Solution: (8x3-2x2+6x-2 )+…

Q: Exercises: 1. Using the fact that 3x² +7x – 9 = ((((3)x) + 7)x) – 9), show how to produce this…

A: To find: number of smallest steps used in producing x8 +x4

Q: What is the degree of the polynomial 9 - 3x + 4y - x2? O 1 O 2 3. O 4

A: Degree is heightest power of polynomial.

Q: Evaluate the polynomial for x = 5 and y= -4. Show your work. -3x°y 4xy² + 5

A:

Q: A ____ is a polynomial that has two terms, and a _____is a polynomial with three terms.

A: We have to fill in the blanks: A ____ is a polynomial that has two terms, and a ____ is a polynomial…

Q: is the polynomial x^8 - solvable by radicals

A: Let f(x) =x8 Let t=x2 ,This implies that f(t) is a polynomial of degree less than of equal to 4.…

Q: Divide the polynomial -5x^2-2+3x+2x^4 +4x^3 by 2x-3+x^2, and check the result 2) Divide the…

A:

Q: 2. Find the difference of the polynomials: (5x°-2x'+x)-(4x°- 3x+2x³-5x) O 9x° +3x-4x O…

A: Given,  ( 5x5 - 2x3 + x ) - (4x5 - 3x4 + 2x3 - 5x )

Q: Write the resulting polynomial in standard form and indicate its degree. (-6x3 + 7x2 - 9x + 3) +…

A:

Q: Do the polynomials x² + 2, 2x² – x + 1,x + 2, and x² + x + 4 span P2?

A: Solve the problem as shown below see if they are linear combination of each other and then verify,

Q: determine the degree of the given polynomials. 7x - 2y

A: Given: 7x-2y

Q: subtract the polynomials using the horizontal format. -4a - 5 from 6a + 2

A: The given polynomials are: ( -4a - 5) and (6a + 2) We have to subtract the polynomial ( -4a - 5)…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.