Use the factor theorem to determine if the given binomial is a factor of f (x). 9) f (x)= 2x3 + x2 – 9x - 6; x - 1

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

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Q: Use the factor theorem to determine if the given binomial is a factor of f (x). f (x) = x4 + 8x3 +…

A: If f(x) is a polynomial of degree greater than or equal to 1, then  x-a is a factor of f(x) if…

Q: (4) When the dividend 2x³+x²-3x-6 is divided by the divisor (x + 1), the quotient is 2x² -x-2 and…

A: Properties of the polynomial If p(x) is any polynomial and (x-a) is the factor of the polynomial…

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: The interpolating polynomial p(x) of degree 2 of f(x) = 6xª – 2x³ + x² + 9 is p(x) = x² + 9. %3D…

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Q: Use Factor theorem to determine if the given binomial is a factor of f(x). f(x)= x4+ 8x3 + 11x2 -…

A: The given polynomial is

Q: B. Determine if the given binomial x - c is a factor of the given polynomial p(x). 1. p(x) = x³ – 7x…

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Q: Use the remainder theorem to determine if the given binomial is a factor of the polynomial. Justify…

A: By using the remainder theorem determine the given binomial is a factor of the polynomial  given…

Q: Find the coefficient of x5 in (1 – 2x)-7 using generating function.

A: Given to find the coefficient of x5 in 1-2x-7 The generating function will be Gx=1-2x-7…

Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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

A: a) Given

Q: Show that if p is a positive integer, then the binomialseries for f(x) = (1 + x) p is a polynomial.

A: The binomial expansion is given as 1+xn=1+nC1x+nC2x2+nC3x3+.....nCnxn

Q: 1 For an unknown polynomial function p(x), p(4)+2=2. Which binomial is a factor of p(x)? A. x-2 B.…

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Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

A: In these problems we will use remainder theorem. When f(x) is divide by ax+b then remainder is…

Q: Use the factor theorem to determine if the given binomial is a factor of f (x), s()-x+3x+7x² +5x-10…

A: Factor Theorem: Let f(x) be a given polynomial of x. x-a is said to be a factor of f(x) if and only…

Q: 3. Find k such that x 1 is a factor of x-2x- 3kx?+ 1 = 0. -

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Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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

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Q: 4. Which integer values of a should be chosen to test for binomial factors of the form x- a of the…

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Q: 7. Find k so f (x) = x*. kx3 + kx2 + 1 has a factor of x + 2. %3D

A: f(-2) =0

Q: IV. Use the factor theorem to show that d(x) is a factor of f(x).

A: Factor theorem :If f(c)=0 then x-c is a factor of f(x) or if x-c is a factor of f(x) then f(c) = 0

Q: could you help please help with these questions. Thank you

A: Given function Simplify the function

Q: Using the Factor Theorem, determine whether the given binomial of the form x - c is a factor of the…

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Q: find n∈ℕ is the polynomial f(x)=x2n +xn+1 divisible by g(x)=x2 +x+1?​

A: Given:            f(x)=x2n+xn+1             gx=x2+x+1

Q: Find the coefficient of x16 in (x + x²+x³ +x4 + x³)(x² +x³ +xª + · . .)5.

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

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: a) Using the binomial theorem of Neieton , express (x00 In fonction of the monomials b) Find the…

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Q: What is the value of f(-2) of the polynomial f(x) =-a + x + 1? What does this mean about the linear…

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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: The standard notation of the factorial polynomial x(4) - x(3) - 2

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Q: The binomial X+4 is a factor of which polynomial? O A. x² +2x-24 О В x3 —10х2 + 33х- 36 ОС х3…

A: Degree of polynomial is the highest power that the polynomial has. Leading coefficient is the…

Q: Use long division to determine whether the binomial is a factor of f(x). f(x) = x^2 - 13x^2 + 48x -…

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

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Q: Find a polynomialf (x) of degree 3 that has the following zeros. 6 (multiplicity 2), –1 Leave your…

A: Given; 6(multiplicity 2),-1.

Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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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: Find the coefficient of x® in (1+ x² + x4 + x®)4.

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Q: Determine the value of k such that x + kx? – 10x- 24 has a factor of x-3.

A: Answer is k=3

Q: A) Determine if the given binomial is a factor of the polynomial Px. If so, factor completely. Show…

A: P(x)=2x3+17x2+23x-45,divide by  (x+6)…

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

A: Given:- f(x) =4x3+4x2-11x+4  To find:- Use the Factor Theorem to determine 2x-1 is a factor of the…

Q: remainder

A: We have to find the following conditions according to the given information

Q: Using the Factor Theorem, determine whether the given binomial of the form x - c is a factor of the…

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Q: Find k such that x+3 is a factor of x^3−kx^2+19x+14k

A: SOLUTION-

Q: i Yi -2 3. -1 x2-9x+8 3. 1. 1, 2.

A: Solution is uploaded here

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

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Q: 9. Use the graph of )-+3x-4 to identify the values of x for which - and to factor ). a. x- 2,x - c.…

A: Topic - functions Point at which graph cuts the x axis is zero of the polynomial or f(x)=0 at that…

Q: 54 Use the Factor Theorem to show that x-c is a fact (x) for the given value(s) of c. P(x) = x'- 3x²…

A: From the  factor theorem we get (x – c) can be considered as a factor of the polynomial P(x) of…

Q: Give the vale of the remainder when p(x)=x3-4x+12 is divided by x+3.

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

Q: 15. Show that (x+ 5) is a factor of f(x) =x3 -x² -21x + 45 then factor f (x) completely.

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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