Factor completely over the real numbers. 23. f(x)=x* +7x² – 3x² – 23x – 14

Q: (i) When the polynomial P(x) where P(x) = x'+ rx+ sx +t is divided by x- 4, the remainder is 18 - X.…

A: Please post the question (ii) in a separate Question(Due to our rules, we have to solve only one…

Q: nd the possible roots of the polynomial 2x³ + x4 - 7x² - 8x + 12 e factors of ± by factors of ± 12 1…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 15. The polynomial P(x) = a3 +3x2 +kx +14 has a factor of x +2. The value of k is

A: Please refer the attached image for complete solution.

Q: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

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Q: 6. a. P(x)= 6x - 7x –12x +3x+2 a zero of P(x)= 6x* - 7x -12x + 3x+2? Show why or why not.

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

Q: 9. For the polynomial f(x) = x(3x + 1)(x – 2)², determine the leading coefficient, leading term,…

A: Given: fx=x3x+1x-22 Now solve the parenthesis we get, ⇒fx=3x4-11x3+8x2+4x                    ...(1)…

Q: + 2x? 3. Find algebraically the zeros for p(x) = x³ + 2x2 – 9x 18 -

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Q: 5. Suppose you use polynomial long division to divide p(x) by q(x), and after doing your…

A: We know that, the number which we divide is called the dividend. The number by which we divide is…

Q: Which of the following is a factor of the polynomial function P (x) = x – x4 – 50x3 – 49x2 + 36?…

A: We need to find factor of given polynomial.

Q: Find the value of k for which x - 7 is a factor of f (x) = x3 - 6x2 + kx – 7. State the remainder…

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Q: Whish of the following is a factor of P(x) = x3 - 3x2 - 3x + 9 ww 3) b) (x – 2) c) (x + 3) d) (x +…

A: Factor is the zero of polynomial . F(x) = axn + bxn-1 + cxn-2 ...........  If at x = p , F(p) = 0 .…

Q: = – 3x – 21x? + 7x + 49 is ( – 3x² + 7), determine the factored form (2 pts) One factor of f(x)…

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Q: Express in long division

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Q: Maximize Q= 4xy", where x and y are positive numbers such that x+ y =11. %3! (Type an exact answer,…

A: given function :

Q: Q5.2 5 Points Calculate the quotient and remainder on division of f(x) = 4x³ – 2x² + 5x – 3 by g(x)…

A: please see the next step for solution

Q: 4. Find all the zeros of: P(x) = x* + x³ + 7x² + 9x- 18

A: To Determine: find all the zeros of                          P(x)=x4+x3+7x2+9x-18 Given: we have a…

Q: x³ + 1 is solved SO ons are 1 and 2t

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Q: IV. Use the factor theorem to show that d(x) is a factor of f(x). 7. d(x) = x + 1 f(x) = x +1

A: As per our guidelines we are supposed to answer only one question i.e. the question no (7). For the…

Q: find the remainder R when f(x) is divided by g(x). Is g a factor of f?

A: fx=12x6-8x4+1    at  x=4

Q: 3 I (x + 1) a factor of 2x° + 3x – 2x – 3? Show how you know. -

A: We need to show that (x+1) is a factor of the given polynomial or not.

Q: 2) The polynomial function f(x) = x³ – 4x² + ax – 12 has (x – 4) as one of its factors. What would…

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Q: - Given that ( x + 1) is factor of the polynomial P(x) = x³ – x² – x – m. The value of m is A 1 B в…

A: Using polynomial and its factor properties

Q: Find the value of k such that x-3 is a factor of x^3-kx^2+2kx-12.

A: Given that, x - 3 =0 And x3 -kx2 + 2kx -12 = 0

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: 11. What is the constant term of the polynomial function f(x)= x´(5x+3)(3x-7)? D. 0 A. 1 В. 2 С.3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 5. Given the polynomial P(x) = 3x + kx? + mx + 12 has a known factor of (x-3). When P(x) is divided…

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Q: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

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Q: 42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} A. 2x* - 2x +…

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Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: 35. Consider the polynomial xy + 27xyt + x²y+ 3xy². a) One factor of the polynomial x + 27y is x +…

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Q: a(x). b(x) 22. Given a(x) = x* + 2x + 4x 10 and b(x) = x + 2, determine in the form q(x) + r(x) %3D…

A: We have to simplify

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

A: Solving the problem by putting the the value of zeros in given equation.

Q: 7. The zeros for p(m) = x – 4x² – 9x + 36 are - (1) {3, 4} (3) {– 3, – 4} (2){± 3, – 4} (4) {± 3, 4}

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Q: Is (x + 5) a factor of g(x) = x-39x+ 70? Use the factor theorem to answer this question. I 2.

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Q: 9x²-x+2. 1. Show that a-2 is a factor of z³-6x² +12r -8. ntor of 6x² + 5x³

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 3. What is the kvalue for the polynomial x - 7x + 17x – 15 if a factor is x – 3? A. k= -3 B. k= 3 C.…

A: We can use factorisation in order to solve the given problem.

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: 16. Given that (x - 1) is a factor of the polynomial fix)= ax + x3 - 12x2- x+ 2.Find the value of…

A: We solve this problem using concept of roots of the polynomial. According to the bartleby guidelines…

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

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Q: Given the solution below, what is the polynomial in factored form? 3 T = -, x = -5 %3D 4 Factored…

A: Solution: Polynomial in factor form is a product of its factor.

Q: 16. Show that (x+ 4) is a factor of f(x) = 3x - 16x² - then factor completely. 103x +36 %3D |

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Q: 7. For what value of b will the polynomial f(x) = -23 + b? remainder when divided byr-2 and r+1. 5x…

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Q: 3) Determine the value of k such that when f(x) = x* – 3x+ kx² + 2 is divided by x – 2, the…

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple…

Q: P(x) = x3-6x2+3x+10If (x-5) is a factor of P(x), find the other factors of P(x). Show work.

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Q: 16. Factor (x) = 6x³ – 25x? – 11x + 60 completely given that (x – 4) is a factor of f (x).

A: If (x-4) is factor of f(x) then by dividing f(x) by (x-4) will result you the other factors via…

Q: 1. Determine for which polynomial(s) (x + 2) is a factor. Explain your answer. Р(x) — х4- Зх3 - 16х…

A: we have to show if (x+2) is a factor of the polynomials P(x)=x4-3x3-16x-12 and Q(x)=x3-3x2-16x-12 or…

Q: 5. Given that (x – 2) is a factor of the polynomial (x3 – kx² – 24x + 28), find k and the roots of…

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Q: 3 What is the end behavior of this polynomial function f(x) = – 4x* + 9x' – 5x +x – 7? a. Falls to…

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Q: 4. Find the value of k for which x-3 is a factor of f(x) = 4x3 + 6x2 -9x + 2k. Hence, find the…

A: Remainder Theorem :      If f(x) is divided by x-a then remainder is f(a).

Q: 22. Which value for k will allow the polynomial x2 + kx - 45 to be fully factorable? а. 3 b. -12 C.…

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