2.33 Let p(r) = x4 + x³ -- 2x2 + x + 1. Prove that the polynomial equation p(x) = 0 has a root in (-1,0).

Q: consider the polynomial equation x3-7x2+14x-4=0 over the interval [0,2].

A: Iteration formula: The iteration formula of secant method is pn+1=pn-1-f(pn-1)pn-pn-1f(pn) -…

Q: ind a polynomial p(x) with zeros as -2,-3,1,3 ?

A: To find a polynomial p(x) with zeros as -2,-3,1,3

Q: Consider the polynomial P (x)=kx' - 5x +3x + 2. Find the value of k such that the remainder is 4…

A: The polynomial is given by Px = kx3-5x2+3x+2 The remainder obtained after dividing the polynomial Px…

Q: If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?

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Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

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: what should n be if f(x) = Xn defineof a polynomial function?

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Q: 2) List one of the zeroes of the polynomial function. The function will have more but you only have…

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Q: Find a value for c so that the polynomial y^2+10y+c factors to (y+5)2.

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Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

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Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Q: Determine the rule for a polynomial function with rational coefficients and least possible degree…

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Q: Determine the multiplicity of 1 as a root of a polynomial f(x) = x³ 3x¹ +4x³ − 4x² + 3x − 1

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Q: Write the standard form of the 5th degree polynomial with zeros x = 2 (multiplicity 2), x = 3i, and…

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Q: 9. Find all real zeroes of the function p(x)=6x' +17x² – 26x +8

A: Definition used-              Rational zero theorem  -                       If a…

Q: Using Newton's Divided Difference, the interpolating polynomial of the points (xo.Yo) = (- 2,1),…

A: We use Newton's Divided Difference interpolation formula. x      x0      x1      x2      x3y      y0…

Q: The general polynomial of degreen has the form = a,x" + a,-1x"- + .. + azx? + ajx + ao, where a, +…

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