3. Determine the value of K so that x+3x +kx - 24 has x +2 as a factor.

Q: Find the value of k such that x − 4 is a factor of x3 − kx2 + 2kx − 8.

A: Here we have to find the value of k,  It is given that,  x − 4 is a factor of f(x)= x3 − kx2 + 2kx −…

Q: Which of the following is the correct complete factorization of x4 - 1?…

A: To find the complete factorization of x4-1. Solution: We know that, a2-b2=a+ba-b Factorizing the…

Q: 6.When 2x3+x2-2kx+b is divisible by x – 1, the remainder is –4, and when it is divided   by x + 2,…

A: Find Your Solution Below

Q: 6. Find the value of k if (x + 2) is a factor of x + 4x2 + x + k

A:

Q: 8. Which of the following is not a factor of 6x² –18x ? (1) x-3 (3) 12 (2) 2 (4) x

A:

Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

A:

Q: 2. What is the value of k such that (x-4) is a factor of x3 - kx2 -11x+12. A. -12 B. -4 C. 2 D. 6

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

Q: If x+2a is a factor of x5-4a2x3+2x+2a+3  find a

A:

Q: A factor of -64 + x^2 is: О х- 2 O x-4 х-4 O x-8 X - O O

A:

Q: Find the value of k so that x-2 is a factor of P(x) = 2x3 – x2 + kx + 2

A:

Q: 3. If one of the factors of (x2 + 12x + 20)is (x + 10). Find the other factor

A:

Q: List all the possible factors of: S(x) = 2x* - 3x' +2x -7x-8

A:

Q: 13. Factor 12y2+60y

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: 12 Given that, for all values of x, 4x-8x2-12x + 11 (2x + k)Q(x) + where Q(x) is a quadratic…

A: Quadratic expressions

Q: If x+2a is a factor of x5-4a2x3+2x+2a+3  Find a

A:

Q: 3-Find k if (x-5) is a factor of 4x³-5x+kx-2.

A:

Q: Find the value of p for which x²– 4x2+ px-8 is exactly divisible by x- 4.

A:

Q: Completly factorize x5 + 4x4 + 7x³ + 8x² + 4x + 2 in Q[x]. Justify that the found factors are…

A:

Q: Show that p-1 is a factor of p10-1 and also p11-1

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Q: What is the value of k such that (x + 2) is a factor of (3x³ + kx² + 5x + 6)? 7 9. 8 10

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Q: Find k so that 4x + 3 is a factor of 20x3 + 23x2 - 10x + k.

A: If 4x+3 is a factor, then on plugging -34 for x in the given expression, the result is 0.

Q: A polynomial P ( x ) with real coefficients has 5 + 9 i as a zero. What other number must be a zero…

A: Comples zeroes of polynomial always come with conjugate pair. For example if a + b i is zero then a-…

Q: 8. The polynomial 3x³ + mx² - nx – 10 has a factor of x - 1. When divided by x + 2, the remainder is…

A: P(x) = 3x3 + mx2 - nx - 10                (i) It is given that (x - 1) is a factor of the above…

Q: Determine k such that Kx2 - 4x +1/2 = 0 has real and different solution.

A: To determine k such that kx2-4x+12=0 has real and different solution.

Q: Which is a factor of both x2 + 7x + 12 and – 3x – 12? O r - 4 O r- 3 O x + 4 O x +3

A:

Q: 8. If (3x- 5x + 5y– 2) is subtracted from (-2x² + x- I), what is the coefficient of x in the result?…

A:

Q: If x is an integer, what is the greatest value of x which satisfies 5 < 2x + 2 < 9?

A: First of all, consider the definition of an integer. An integer is defined as the whole…

Q: If (x + 3) is a factor of x3 - 13x – 12, what are the other factors. A. (x- 6) and (x + 2) B. (x –…

A: Given data is : If x+3 is a factor of x3-13x-12 What are the other factors.

Q: If (x-3) is a factor of x3 - 13x+ 12, what are the other factors. A. (x-6) and (x+2) B. (x- 2) and…

A:

Q: This problem requires that you show all work. Factor the GCF out of each term: 24z – 4x² + 16x Hint:…

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Q: Eliminate the arbitrary constants for the ff: 3x2y - mx=3 Use elimination by forming PDE

A: Given the equation:3x2y-mx=3forming PDE by eliminating the arbitrary constantHere m is arbitrary…

Q: Find the specific solution. Hint: factor by grouping in pairs first. x" + 2x" - 9x'- 18x = 0,…

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Q: 47. a) If (x – 2) is a factor of 2x – 3x + k, find k. - b) When ax – 4x² + 5x – 3 is divided by (x +…

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Q: Which of the following is not a factor of x8 – 1?

A: We can use fellowing formula to solve the problem: (a+b)(a-b)=a²-b²

Q: Is (z-4) a factor of 6z -272+ 16z-8 O No, it is a not factor. OYes, it is a factor.

A: According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number,…

Q: S 2 is a factor of n2 -n.

A:

Q: mà the set of values of k for which 4x2 -4lx+2k+3 = 0 has no real roots.

A:

Q: 8 is a factor of 9n -1.

A: Given, 9n-1

Q: 9) Ify+ is one factor of y2- what is the 9' other factor?

A:

Q: 10) If x = -2 is a zero, what are the other zeros for 3x3 + 10x2 + 4x - 8 = 0? %3D

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Q: (d) Show that x? 4 is a factor of x4 5x3 + 2x2 + 20х— 24.

A:

Q: 8. Which of the following is not a factor of 6x-18x? (1) x-3 (3) 12 (2) 2 (4) x

A:

Q: If x – 2 is a factor of x3- 4x2 + 8x + k then the value of k is

A: Given: x-2 is a factor of x3-4x2+8x+k.

Q: 1) When x2- 4x -12 is factored completely, 8) one of the factors will be A) x+ 2 B) x-4 C) x-3 D)…

A: We have to find correct answer

Q: Revlew L uonsen Show why x-3 is a factor of m(x) = x - x - 5x- 3. Justify your answer. BIU

A:

Q: If (x + 3) is a factor of x3 – 13x – 12, what are the other factors. А. (х — 6) and (х + 2) В. (х —…

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Q: 9. What is the largest integer value of k for which the equation x2 - 6x + k = 0 gives a real number…

A: