From the given polynomials be able to solve each by factoring or any other way of solving to find the value of x. 1. 2x*+x³+x+1

Q: An nth degree polynomial will have at most n+1 real roots. O True O False

A: No, that is not possible. The only reason that an n-degree polynomial has max n roots is that it can…

Q: 47. For what value of k will the polynomial function f(x)=x²+6x² +kx -4 have the same remainder when…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: From the given polynomials be able to solve each by %3D factoring or any other way of solving to…

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Q: Recall that Heron's method for calculating the square root of a mumber N was to iteratively…

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Q: For the polynomial s²+25+p=0, if the value of p is less than 1, then the roots will be

A: s2+2s+p=0, p<1

Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

A:

Q: The polynomial of degre3, P(x), has a root of multiplicity 2 at X=1 and a root of multiplicity 1 at…

A: Given that: Root x=1 has multiplicity 2Root x=-1 has multiplicity 1.y-intercept is y=-0.8

Q: If a polynomial f(x) when divided by (x – a) gives a remainder r1, and when divided by ( – b) gives…

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Q: The graph of f(x) = 6x – 19x? + 16x – 4 is shown in the figure. f(x) = 6x - 19x + 16x - 4 y 1+ -1…

A: Given: f(x)=6x3−19x2+16x−4

Q: Suppose you were asked to solve the following two problems on a test. (a) Find the remainder when…

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Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: 4x

A: Zeros of f(x) must satisfy f(x),i.e., f(x) will reduce to zero at the zeros of f(x).

Q: How many roots are there for the polynomial that factors into f(x) = (x² – 1)(x + 2)(æ – 1)2? 3.

A: no of roots = ?

Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3,…

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Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: From the given information find the remainig roots of the polynomial. E(x)=x+4x³+2x²+20x-15, and one…

A: The objective is to find the remaining roots of the given polynomial

Q: If the remainder on dividing the polynomial 2x* – kx +5x-3k+3 by (x + 2) is 4, then find the value…

A: Use the given information.

Q: 16.J. Show that every polynomial of odd degree and real coefficients has a real root. Show that the…

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Q: Find a polynomial f(x) of degree 3 that has the following zeros. -4 (multiplicity 2), 3 Leave your…

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Q: Given that the polynomials has the given roots, find the other roots.   1. F(x)= x^3+5x^2-2x-10.…

A: As you have asked a question containing multiple subparts and not mentioning which subparts to be…

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: To find a polynomial f(x) with degree 4. Given zeroes : 8,-1 (multiplicity 2) ,0 Here, multiplicity…

Q: If a polynomial f(x) has a remainder of -4 when divided by x-3, what is f(3)? f(3) : %3D

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Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

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Q: Find a polynomial f (x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: We have to find a polynomial f(x) of degree 4 that has the following zeros  8,-1,-1,0 i.e x =…

Q: 22. Solve the following for all solutions, both real and imaginary. f(x) = 2 x - 17x + 30x -8. Since…

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Q: 11. If f(x) = -3x2 - 4x + 1, use synthetic division to evaluate f(4)

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: 1) Express the polynomial x + 2x? – 5x + 2 in a series of Laguerre polynomials.

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Q: Given that x = 2 is one root of g(x) = 2x* + 4x – 9x² – 11x – 6 = 0, use factorisation to determine…

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Q: The polynomial p(x) has the rest (x+2) when dividing it by (x^2+2x-3) and the rest 1 when dividing…

A: We have given that  p(x) leaves the remainder (x+2) when divided by x2+2x-3 and  p(x) leaves the…

Q: For each polynomial the corresponding number k is a root of f(x). Use synthetic division to factor…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The remainder upon the division of x75+ 6 by x- 3 in z, is: 1 5 6.

A: I am solving it in step 2

Q: What is the fermat value, in polynomial form, of integer 'a', if a=x^4 + 1; p=x^2 + 1?

A: We have to find the Fermat value 'a' which is given in the following form, a=x4+1p=x2+1

Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

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Q: From the given polynomials be able to solve e factoring or any other way of solving to find tH х. 1.…

A: First factor then solve

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: If a polynomial a degree of 3, P(x), has a root of multiplicity 2 at x=2, and a root of multiplicity…

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Q: Solve the following problem:

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Q: Suppose you were asked to solve the following two problems on a test. (a) Find the remainder when…

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Q: The remainder upon the division of x75 + 6 by x-3 in z, is: 1.

A: concept : when f(x) is divided by x-a then  Remainder is f(a).

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: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: A given polynomial has a root of x = 3, an zero of x = -2, and an x-intercept of x = -1.   The…

A: Zeros, roots, and x-intercepts are all names for values that make a function equal to zero. Given, a…

Q: If a polynomial f(x) when divided by (x - a) gives a remainder r₁, and when divided by (x - b) gives…

A: Given that fx is divided by x-a, we get remainder r1, so there exist a polynomial qx such that…

Q: Given: P(x) = 2x - 3x- x + 3x – 1 How many roots does the polynomial 10 above have? What are all the…

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Q: Calculate the roots of the following polynomial equations: (a) x – 6x2 + 1lx – 6 = 0 given x = 1 is…

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Q: For the polynomial s2+2s+p=0, if the value of p is equal to 1, then the roots will be

A: Putting p=1, to find the roots of s.

Q: Find an equation with real coefficients for the polynomial that passes through the point (0,…

A: we have to find an equation with real coefficients for the polynomial that passes through the point…

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).