P(x)=x4 +7x3+12x2+11x+34  dividing the polynomial by x+5, find the quotient and the remainder with HORNER's THEORET

Q: (7r + ェ2+z) + (z2+ 1)

A: 7x3+x2+x÷x2+1

Q: • performs division of polynomials using long division and synthetic division. LONG DIVISION e.g. 1.…

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Q: What are the zeros of the polynomial p (x) = (a - 5) (3x + 5) (x2 – 7x + 12)? %3D Express them in…

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Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)…

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Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: 7. Use the remainder theorem to find the remainder when g10 + g8 is divided by x -1 without…

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Q: Compute the zeroes of the polynomial 4x2 - 4x -8 also establish a relationship between the zeroes…

A: Given Polynomial 4x2-4x-8 = 4x2-8x+4x-8  = 4x(x-2)+4(x-2) = (4x+4)(x-2) In order to find the zeros…

Q: 16. Find a fourth degree polynomial that has the zeros 3, -2, i.

A: Given data: The first root of the polynomial is x1=3. The second root of the polynomial is x2=-2.…

Q: Express the polynomial x3 + 2x+3 EZ-[x]as a product of irreducible polynomials of 75[x].

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Q: Dividing the polynomial P(x) by x-1 yields a quotient Q(x) and a remainder of 4.  If Q(-1)=3, Find…

A: P(x) =Q(x) (x-c) + R(x)when the factor is (x-1)R(x)=4P(x)=Q(x) (x-1)+4P(1) =0 +4P(1) =4

Q: Find all real zeros of the polynomial P(x)=6x^4-7x^3-12x^2+3x+2 by first searching for the possible…

A: The factors of the leading coefficient (6) are 2 , 3, 6 and 1. The factors of the constant term (2)…

Q: Use the remainder theorem to find the remainder (x4 +5x3 – 4x – 17) ÷ (x + 1)

A: Remainder theorem states that when any polynomial p(x)  is divided by (x-a) then remainder of the…

Q: xpress the polynomial in factored form p(x)=x^3-x^2-8x+12

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Q: Let f(x) be a polynomial with real coefficients. The polynomial f(x) leaves the remainder 2x +1 when…

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Q: Find a third-degree polynomial that has integer coefficients and zeros and 3+i.

A: Let's find.

Q: Use the Remainder Theorem to find the remainder R. (-2x5 – 3x4 – 2x – 3) ÷ (x + 5)

A: topic - remainder theorem remainder -4382

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: Factor the polynomial P(x)= 2x4+15x3+17x2+3x-1 completely over the real numbers using synthetic…

A: In this question we have to factor the polynomial using synthetic division by x+1

Q: Approximate the roots of the polynomial f(x) = X3 - 7X + 6 using Bolzano method

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Q: 8. Factor the polynomial r - 2x2 - x- 28 into linear factors. Begin by using a graph to find a real…

A: Given: x3-2x2-x-28

Q: Determine the multiplicity of the root = 1, of the polynomial P(x)=x5-2x4 +4x3-x2 -7x+5=0 using…

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Q: 5x52 -4x15-11a2+12 Jessica determines the remainder of x+1 using the remainder theorem.

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Q: Find a fourth degree polynomial that has zeros of 3,-3,i

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Q: Use the Remainder Theorem to find the remainder R on the equations. (2x3 – 5x2 – 7x – 6) ÷ (x – 2)…

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Q: Find a polynomial with real coefficients, degree 3, and zeros 3 − 2? and −2. Give both the factored…

A: Given, degree=3 zeros are 3,-2, and -2.

Q: Find all zeros of the polynomial P(x) = 2X^4 + 15x^3 + 31x^2 + 20x + 4 Also, factor the polynomial…

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Q: Find a 6th-degree polynomial with a negative leading coefficient that has roots x= 1- (square root…

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Q: Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1…

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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: find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

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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: 3. Find all zeros(real and complex) of the polynomial P(x) = x* + x³ + 7x² + 9x – 18, making sure to…

A: The given polynomial is  P(x) = x4 +x3 + 7x2 + 9x - 18

Q: What is the leading coefficient of a third degree polynomial function that has an output of 1272…

A: Given zeros of the third-degree polynomial, -6, 7i, and -7i

Q: theorem

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Q: Find a degree 3 polynomial having zeros -5, 2 and 8 and the coefficient of x3 equal 1

A: By the factor theorem, the required polynomial have factor(x+5),(x-2) and (x-8)   Therefore the…

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: 5. (x5 + 25x3 -7x2 +37x 18) + (*+5) %3D II. A. Use the REMAINDER THEOREM to find the remainder of…

A: We have to solve

Q: The number of zeros of the polynomial x^2 +4x+1 in Z6 is:

A: See the detailed solution below.

Q: One factor of f(x) = 4x³-4x²-16x+ 16 is (x-2). What are all the roots of the function? Use the…

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Q: One factor of f(x) = 4x° + 20x2 – 6x -30 is (4.x – 6), determine the factored form (with real ents)…

A: Here we have to find factor of given function

Q: 4) Use polynomial long division. 8 – 14r2 + x 2x – 3

A: The expression is 8x3−14x2+x2x−3.

Q: 7. Find all the zeros of the polynomial: y = 2x* – 5x³ + 10x – 12. - -

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Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

Q: Use the remainder theorem to find P (1) for P (x)=x"- 3x'+ 3x-6. Specifically, give the quotient and…

A: Given that: P(x)=x4-3x3+3x-6

Q: Express the second order polynomial p(x) = x^2 + 4x + 13 in the sum of square form

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Q: find the remainder when the polynomial x^4 - 6x^3 + 4x^2 + 5x +3 is divided by (x + 1)

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Q: Find a polynomial of degree 5 with integer coefficients and has zeros ½, -i, and 1 – i, and leading…

A: Given,           The leading coefficient of the polynomial is 4 and zeros of the polynomial are 1/2,…

Q: The polynomial  P(x) = 5x2(x − 2)3(x + 9)  has degree  . It has zeros 0, 2, and  . The zero 0 has…

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Q: Find the polynomial P(x) with real coefficients having the specific degree, leading coefficient, and…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.