find the value of the parameter m so that the remainder of the division of the polynomial P (x) = 3x³-mx² + 5x-6 with x-3 is r = -66

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x) =x3 -px2…

A:

Q: The degree of the polynomial function f(x) = -2x3(x - 1)(x + 5) is_______ . The leading coefficient…

A:

Q: Find the zeros of the quadratic polynomial f (x) =6x2-3,and verify the delatiob-ahip between the…

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Q: A fourth degree polynomial equation is shown below. (4x2 - 8x - 5) (3x² – 7x-6)=0 Which of the…

A: 4x2-8x-53x2-7x-6=0

Q: Consider the polynomial equation of P(r) = 0 where P(x) = #* – a* – ² – a – - 2. - T (a) What are…

A: The given polynomial is Px=x4-x3-x2-x-2.

Q: 11) f(x) = x+3x3-4x2 - 10x - 4

A: Note: As per the Bartleby Guidelines we can answer only first question when multiple questions…

Q: Find the zeros of the polynomial f(u) = 4u + 8u, and verify the relationship between the zeros and…

A: f(u) = 4u2 + 8u To Find the zeros of the polynomial f(u) and To verify the relationship between the…

Q: Find all the zeros, real and nonreal, of the polynomial and use that information to express p(x) as…

A: Given polynomial is

Q: Given f(x) = (x−2)^3(−x+ 1)^7(2x+ 6)^2(x+ 4) determine the following: (a) What is the leading (or…

A: The given function is- f(x) = (x−2)3(−x+ 1)7(2x+ 6)2(x+ 4) (a) The leading term of the polynomial is…

Q: Find the zeroes of the polynomials f(x) = x3 -12x2+39x, if it is given that the zeroes are in AP

A:

Q: Find the zeroes of the polynomials f(X) =x3-12x2+39x-28 ,if it is given that the zeroes are in AP

A: Given f(x)=x3-12x2+39x-28  Zeroes are in AP. Let the zeroes be of the form a-d,a,a+d

Q: Find the value of k in the given polynomial if one of the zeroes is -3  (k-1)x2+kx+1

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Q: find all zeros of the polynomial  p(x)=x^4+x^3+7x^2+9x-18x

A: Given that:p(x)=x4+x3+7x2+9x-18

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

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Q: Find the remainder R when f (x) = 6x3 + 3x2 + 2x - 11 is divided by g(x) = x - 1. Is g a factor of…

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Q: H.W:- find the root of the polynomial below:- 5 x³+ 4x1-3x³+2x²+x+1=0

A: The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to…

Q: For the polynomial function A(x) = 2æ³ + 5a2 –28x–15 we know (x + 5) is a factor. Rewrite A(x) as a…

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Q: Given f(x) = 2r – 7x + 9x - 3, use the Remainder Theorem to find f(-13). %3D

A: Given: f(x)=2x3-7x2+9x-3, Use the Remainder theorem to find f(-13)

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)=x3-px2+qx-r,…

A: we know for cubic equation,  ax^3+bx^2+cx + d having roots α,β and γ  Sum of roots,α+β+γ=−b/a, Sum…

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

A: The answer is given below:

Q: Given p(x)=(x-4)^5 (x+1)(x-2)^3State the zeros and their multiplicities. What is the degreeof the…

A: Given:The function is, p(x) = (x−4)5(x+1)(x−2)3.

Q: Find the critical points, A and B, of the following polynomial (with A<B). f(x)=2x3-294x+6 A= ?…

A: The given polynomial is fx=2x3-294x+6.

Q: Find all zeros of the polynomial. P(x) = x5 - 2x4 + 2x3 - 4x2 + x - 2

A: Given, p(x)=x5-2x4+2x3-4x2+x-2 now find the factors and zeros of function p(x)=0…

Q: Find the value of p from the polynomial  x2 +3x+p if one of the zeroes of the polynomial is 2

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Q: 10 h(x) = x³ + 5x² - 4x- 20 %D

A:

Q: find the zeros of the quadratic polynomial x2 +7x+12 ,and verify the relation between the zeros and…

A: Given the polynomial x2+7x+12=0

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

A:

Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

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

A:

Q: Determine the degree of the polynomial P(x) and arrange the terms in decreasing order. 6x + 5 - 5x4…

A:

Q: Find a rational zero of the polynomial function and use it to find all the zeros of the function.…

A: Given: f(x) = x3 + 6x2 + 5x -6 find: Rational zero of the polynomial function and use it to find all…

Q: Find all zeros of the polynomial. P(x) = x4 - x2 + 2x + 2

A: Use the rational root theorem a0=2,     an=1 The divisor of a0=1, 2 The divisor of an=1 Therefore…

Q: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x -3 and then verify…

A: Note :- Solved by taking cubic polynomial p(x) = 3x3-5x2-11x -3 ( because in cubic polynomial 'x'…

Q: Find a polynomial equation with real coefficients that has t 8, 9-i The polynomial equation is

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Q: Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through…

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Q: Find all the zeros, real and nonreal, of the polynomial and use that information to express p(x) as…

A:

Q: Find all zeros of the polynomial. P(x) = x3 + 7x2 + 18x + 18

A: Given polynomial P(x) = x3 + 7x2 + 18x + 18

Q: Find the degree and leading coefficient for the given polynomial x2(2x – 3)2

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Q: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

Q: Find the value of k in the given polynomial if one of the zeroes is - 3  (k-1)x2+kx+1

A: The given function is  f(x) = (k-1)*x2 + kx +1

Q: 2) State the degree and identify the leading term and constant term of the following polynomial…

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Q: FInd the zeroes of the polynomial f (x) =x2-12x2+39x-28,if it is given that the zeroes are AP

A:

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

A: The solution is given below in the next step:

Q: Use the Factor Theorem to show that the statement in the exercise is true.

A:

Q: Consider the polynomial g(x) (x - 1)(2x + 1)(3z –1)(5x + 1). A. What are the roots of g? B. Suppose…

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Q: The polynomial function q(x) = 3x + 11x2 - 14x- 40 has a known factor of (3x+5). Rewrite g(x) as the…

A: Given, polynomial function qx=3x3+11x2−14x−40 and known factor 3x+5 To write: qx as the product of…

Q: Consider the polynomial equation of P(z) = 0 where %3D P(z) = 1* – 2 –2² – z – 2. (a) What are the…

A: Topic:- algebra

Q: Find the critical points, A and B, of the following polynomial (with A<B) f(x) = 6x3 - 45x2 - 432x…

A: A = -3.04 B = 8.04

Q: Determine the polynomial y(x) that has roots at x= -0.7, x=0.5, x = 3.4, and x = 5.8. Make a plot of…

A:

Q: find the third degree polynomial with integer coefficients that has the following zeros: 0,5-2i

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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.