Find the equation for a polynomial f(x)f(x) that satisfies the following: Degree 5 Root of multiplicity 1 at x=3 Root of multiplicity 2 at x=−3 Root of multiplicity 2 at x=−4 yy-intercept of (0,−864)

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at æ = 3 and…

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros –1,…

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Q: Find a polynomial function of degree 4 whose zeros: 3+2i; 4 (multiplicity 2)

A: A polynomial is a function in variable x of the form anxn+an-1xn-1+···+a1x+a0. This polynomial has…

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A: Given that the polynomial P (x) of degree 33, with x= 3 and x=-4 are root of multiplicity 22 and 11…

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: A polynomial equation with real coefficients has roots at x = minimum degree of the polynomial…

A: Given Data: Roots of the polynomial are: x=±1, 2i The minimum number of degree of a polynomial…

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

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

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

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

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

A: Given information: The degree of the polynomial is 5,    the root of multiplicity 2 at x=2 therefore…

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: Your polynomial should have. Degree 4 Roots at -2, -4 and 3 f(x) approaches negative infinity as x…

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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 a = 3 and…

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

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Q: Find a formula for the polynomial P(x) with degree 16 leading coefficient 1 root of multiplicity 6…

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Q: Find a formula for the polynomial P(x)P(x) with degree 3 a root of multiplicity 2 at x=1x=1 a root…

A: As we know that the equation for a polynomial when the roots for the polynomial is at x=a,x=b,x=c is…

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

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

Q: How can you find the first derivative of the given polynomial function? What mathematical skill is…

A: Let the polynomial be pn(x)=a0+a1x+a2x2+a3x2+...+anxn Now, the first derivative of the above…

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

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Q: The polynomial of degree 3,P(x),has a root of multiplicity 2 at x=5 and a root multiplicity1 at…

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

Q: How to do this?

A: We have to find polynomial

Q: The polynomial of degree 33, P(x), has a root of multiplicity 22 at x=4 and a root of multiplicity…

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Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

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Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=5x=5 and a root of…

A: Given the degree of polynomial is 3

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

A: Given,          The polynomial of degree 4, Px, has a root of multiplicity 2 at x=1 and roots of…

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

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

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

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

A: To find a polynomial with following properties: Degree = 3 A root at x = 4, multiplicity 2 A root at…

Q: Find a formula for the polynomial P(x)P(x) with degree 15 leading coefficient 1 root of…

A: Given that x=0 has multiplicity 6. So (x-0)6 = x6 is a factor. Given that x=12 has multiplicity 3.…

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

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

A: Since , the polynomial P(x) has roots of multiplicity 2 at x=5 and x=0 and  a root of multiplicity…

Q: 1. Give one example of a polynomial of degree 4 that has a zero at x = 5 with multiplicity 2. (There…

A: x=5 is a zero. So (x-5) will be a factor.  Since it has multiplicity 2 so the factor will be (x-5)2…

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

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

A: To find the formula for polynomial P(x)

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

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

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

A: A detailed solution is given below.

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

A: Given, the polynomial of degree 5, p(x) has leading coefficient 1. At x=3 with multiplicity 2 At x=0…

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

A: We have to find polynomial

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

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

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Q: Find a formula for the polynomial P(x)P(x) with degree 16 leading coefficient 1 root of…

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Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=2x=2 and a root of…

A: To find the formula of polynomial. Given the roots of P(x) with the multiplicity of the roots and…

Q: 8. Find the (only) equation of a polynomial p(x) th • Root at 0 of degree 1 • Root at 1 of degree 1…

A: Let the leading coefficient = a So, P(x)=ax(x-1)(x+3)2 Given that P(2)=5  Using that we find a