Given an expression f(x) using only Real-valued coefficients, having degree 4, passing through the (-6,-984) with roots x = -9, x = -4 and x = 3+i. Your answer should not contain any i.  f(x)=__ is a polynomial of degree 4 with the given roots and passes through (-6,-984

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x =1 and…

A: if root of polynomial equation is x = a and a = b then it can be written as P(x) = (x-a)(x-b)

Q: 4х — 5 8. Consider the rational function defined by y = 2(х + 1)?(х — 3)" Make a table of values to…

A: The solution is given as follows

Q: Give an expression for f(x) of degree 3 with roots z = -4 and r = -2, where the root at r = -2 has…

A: Zeroes are x=-4 and x=-2and x=-2 has multiplicity 2

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1…

A:

Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A: Other zeros of the 5 degree polynomial are to be found.

Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: Give an expression for f(x) with leading coefficient –5, of degree 3, and having roots ¤ : -4 , x =…

A: from the given data: i^2= -1 Substituting in the required place and finding the polynomial

Q: The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at…

A: Given that x=2 and x=0 has multiplicity 2 and x=-4 has multiplicity 1 So P(x) has form…

Q: Which of the following is a polynomial f(x) of degree 3 with real coefficients which

A:

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and…

A: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 and…

A: The degree of the polynomial is 5. The leading coefficient is 1 The roots of the polynomial is x =…

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at r = 4…

A: Given that the polynomial is of order 5. Root of multiplicity is 2 at x=4, x=0. Root of multiplicity…

Q: Find a formula for the polynomial P(x)P(x) with degree 3 a root of multiplicity 2 at x=4x=4 a root…

A: Given that x=4 has multiplicity 2 and x=-5 has multiplicity 1  So P(x) has form: P(x)=a(x-4)2(x+5)…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and…

A: Given a polynomial P(x) of degree 5, having a leading coefficient 1 Also given that the polynomial…

Q: What is the polynomial f(x) with real coefficients having the given degree and zeros for  Degree 4;…

A: Explanation of the solution is given below...

Q: 4. Prove that if f(x) = aox" + a,x"-1+ ...+ an-1x = 0 has a positive root x = xo, then the equation…

A: Roll's theorem: If f is continuous function on [a, b], differentiable on (a, b) and f(a) = f(b) then…

Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

A:

Q: The 2nd degree polynomial that interpolates to f(x): = 2cosx - sinx at x = 0, x = π/2 and x = π is…

A:

Q: 7. The fourth-degree polynomial f(x) = 230x* + 18x + 9x? – 221x -9 has two real zeros, one in [-1,0]…

A: As per the guideline, I am doing the 1st method only. Kindly repost the others separately.   Secant…

Q: The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at…

A: P(x) has root x=2 of onulriplinary 2∴ (x-2)2 is a factor of p(x).p(x) has root x=0 is a factor of…

Q: If f(x)=ln(x) and x,-3.1, x₁-3.2, x-3.16, then the error bound in Lagrange interpolating polynomial…

A: Given the function is fx=lnx and x0=3.1, x1=3.2, x=3.16

Q: 3. f(x) = x2- 4x- 5 4. f(x) = X2 - 9x - 36 (x-12)(x+3) roots are x=12 x=-3 5. f(x) = x2+ 3x- 40 6.…

A: Given3)f(x)=x2-4x-55)f(x)=x2+3x-406)f(x)=x2+22x+21 To find Roots of above

Q: The polynomial of degree 3,P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at…

A:

Q: Give an expression for f(x) of degree 3 with roots a =1 , x = 5 + 3i, and a = 5 – 3i. • Your final…

A:

Q: Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the…

A: Surd zeros are always in pairs. That is a+b is zero then a-b is also a zero of the polynomial.…

Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at æ = 5 and…

A: The objective is to find the polynomial P(x).

Q: Consider the following equation. 3x4 - 8x3 + 8 = 0, [2, 3] (a) Explain how we know that the given…

A:

Q: A quartic polynomial P(x) has rational coefficients. If √2 and 1 + i are roots of P(x) = 0, what are…

A: The detailed solution is as follows below:

Q: 12. The second-degree Maclaurin polynomial for f(x)=vx+9 is 3+ x² If this 6 108 polynomial is used…

A: The Maclaurin polynomial for f(x)=x+9is 3+x6-x2108 To approximate 8, substitute -1 for x in the…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as : n…

A: the given conditions are: n=4; 2(with multiplicity 2) and 3i are zeroes, f(0)=36 we have to find an…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 5 and a root of multiplicity 1…

A:

Q: The Taylor polynomial of degree 100 for the function ƒ about x = 3 is given by (x – 3)100 50! 2n…

A:

Q: The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at…

A: We know that if we multiply all the factors of p(x) together we will get a possible formula for…

Q: - Find The polynomial of degree 7 which has only the following zeros: 2( multiplicity 4), 4(…

A: Given: Degree of polynomial is 7. The given zeros of the polynomial are, 2 with multiplicity 4 can…

Q: If f'(x) has no roots, then f (x) has exactly one root. If f (x) has three roots, then f'(x) has at…

A:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 11…

A:

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 and…

A: Solution: The objective is to find the polynomial

Q: Polynomial of lowest degree with zeros of -2 (multiplicity 2) and 3 (multiplicity 2) and with f (0)…

A:

Q: 5.5 (a) Determine the roots of f(x)= -12 – 21x+ 18x? – 2.75x3 graphically. In addition, determine…

A: Solution 5.5: f(x)=-2.75x3+18x2-21x-12 The graph of the function between xl=-1 and xu=0 Since the…

Q: the polynomial of degree 4, p(x) has leading coefficient 1 had a zero of multiplicity 2 at x=2, a…

A: We are given that the polynomial p(x) has a zero of multiplicity 2 at x=2, i.e.; the polynomial has…

Q: 4) Polynomial of lowest de 1) and with f (0) = -18

A:

Q: ve an expression for f(x) using only Real-valued coefficients, having degree 4, passing through the…

A:

Q: Find a formula for the polynomial P(x) with • degree 3 • a root of multiplicity 2 at x = 5 • a root…

A: By factor theorem, for the root x=a of the polynomial P(x) the factor is (x-a). So, the factor for…

Q: 7. How many roots are there to the function J (X) = -3x" + 8, How do you know?

A: topic - quadratic equation

Q: is a polynomial O has repeated roots at x = 0 O has a slope equal to zero at x = 0 O is always…

A:

Q: uppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A:

Q: 18. Given the polynomial irrational roots. f(x)=2x²-x²-5 . use linear interpolation to approximate…

A: Given: The polynomial is fx=2x3-x2-5. To find: The roots of the given polynomial.

Q: The polynomial of degree 5, P(r), has leading coefficient 1, has roots of multiplicity 2 at z = 1…

A:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

A: