Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1 and x= 2 You must determine the values of m and n and then use polynomial division to determine the other x-intercepts in order to write the function in factored form. Use polynomials division to determine the other x-intercepts. Show your work!

Q: Given two polynomial functions f(æ) = x° + 2a² – 28x – 35 - and g(x) = x – 5 use synthetic division…

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Q: Given that (x+1) is a FACTOR of the polynomial, find all the ROOTS of the polynomial

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

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Q: find the zeros of the polynomials f(u) = 4u2+8u, and verify the relationship between the zeros and…

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Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1(x) = x + 2 and…

A: The remainder theorem says that when a polynomial px is divided by x-a. The remainder is obtained as…

Q: What will be the difference of the two polynomial function p(x) and q(x) at x= 9 where p(x)=6x2…

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Q: USE the synthetic method of division to divide the polynomial f(x) = r" – 32 by d(r) -2.

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

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

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

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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: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: Find the zeros of the polynomials f (u) =4u2+8u ,and verify the relationship between the zeroes and…

A: Sum of zeros = -(b/a)  product of zeros = (c/a)

Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1 (x) = x + 2…

A: The given question is related with polynomials. Given that,                  fx = x3 + ax2 + bx + c…

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: For the polynomial, -1 is a zero of multiplicity two. f(x)= x^4 + 6x^3 + 22x^2 + 30x + 13. Express…

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Q: Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve…

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Q: Find Ao, A1, and A2 in rewriting the function of f(x)={* x20 in terms of Lagure polynomial, 00 S(x)…

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

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Q: Solve for all the roots of x using Bairstow’s Method starting at r1 = 0.25 and s1 = 8.75 of the…

A: Solution:-

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

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Q: Given that (x + 2) is a factor of the polynomial 2a – 5x2 + ax + a, the - value of the constant a is

A: If (x+2)  is factor of the polynomial 2x3-5x2+ax+a then remainder will be zero when we divide (x+2)…

Q: Find the zeros of the polynomials f(x) =x3-5x2-16x+80,if it's two zeros are equal in magnitude but…

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Q: We want to find the zeros of this polynomial: p(x) = 2x3 + 4x² – 6x

A: You will find the roots of the given polynomial by factorising

Q: Write a polynomial, P(x), in factored form given the following requirements. Degree: 4 Leading…

A: Given, p(x) has Degree: 4 Leading coefficient 1 Zeros at (5,0), (−2,0) and (−3,0) y-intercept at…

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: 10 h(x) = x³ + 5x² - 4x- 20 %D

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Q: Start with p =-1.5 and p, =-1.52 and use the secant method to find the root p=-1521of the polynomial…

A: p0 = -1.5 p1 = -1.52 f(x) = x3 - x + 2

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: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 3x +7x +147x…

A: givenf(x)=3x3+7x2+147x+343a.(3x3+7x2)+(147x+343)=0x2(3x+7)+72(3x+7)=0

Q: Find the zero(s) of the polynomial ³ - x²-3x+3.

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

A: Consider the polynomial  fx=x3−5x2−16x +80

Q: For the polynomial below, 3 is a zero. h(x)=Dx' +2x 9x 18 Express h (x) as a product of linear…

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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: Show that the cubic polynomial p(x) = ax3 + bx2 + cx + d has exactly one point of inflection (x0,…

A: Given Data The cubic polynomial equation is p(x)=ax3+bx2+cx+d. The equation is p(x)= x3-3x2+2.…

Q: Find the zeroes of the polynomial f(u) =4u2+8u,and verify the relationship between the zeroes and…

A: Solution: The objective is to find the zeroes of the given polynomial

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: find the value of the parameter m so that the remainder of the division of the polynomial P (x) =…

A: Solution: We have to find the value of m so that the remainder is -66 when Px=3x3-mx2+5x-6 is…

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: Given that 5x - 2is a factor of polynomial functions f(x) kx- bx + 2k, %3D determine the ratio k: b…

A: Given that 5x-2 is a factor of polynomial functions f(x)=kx2-bx+2k.

Q: a) For the function of f(x) = x4 + 1, factor f into the product of two irreducible quadratics.…

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Q: USE the synthetic method of division to divide the polynomial f(z) = 2 – 32 by d(r) %3D

A: Given : We have given the polynomial fx = x5 - 32  and dx = x - 2 To find : Divide the given…

Q: Use synthetic division to find the result when x + 2x2-11a + 24 is divided by x +5. If there is a…

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Q: The value of f(3) for the polynomial f(x)=x3+x2-5x+3 is 24. What does this mean in terms of…

A: Given:  f(x) = x3+x2-5x+3 Now we have f(3) = 24

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: Flx)=14x=2x - 2x find obliq-es asympto tes use the long Formula

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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.