The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 2 and a root of multiplicity 1 at æ = – 5. The y-intercept is y = – 12. Find a formula for P(x). P(x)

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

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

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: 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(r) has leading coefficient 1, has roots of multiplicity 2 at z = 1 and…

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

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

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

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

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

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

A: The objective is to find a formula for p(x).

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

A: Step-I:   Given:       The polynomial of degree 3.   root : x = 4 with multiplicity 2           x =…

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

A: Please refer to the image below.

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

A: Given that P(x) has a root multiplicity 2 at x=2 and a root multiplicity 1 at x=-3 the y-intercept…

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

A: P(x) is polynomial of degree 3  So it can have atmost 3 real roots

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

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Q: How to do this?

A: We have to find polynomial

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

A: Result used: If a polynomial function has zeros or roots of r1,r2,r3,…, then the polynomial function…

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

A: If a is a zero and multiplicity is m We can write it as (x-a)m

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

A: p(x) has a root at x=5 with a multiplicity of 2 x-52 is a factor p(x) has a root at x=-1 with a…

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

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

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

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(x) has leading coefficient 1, has roots of multiplicity 2 at a = 5 and…

A: Roots of multiplicity at x=5 and x=0. So, (x-5)2 and x2 are factors of P(x). And x=-3 is the root…

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

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

A: On solving this we will get

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

A: Topic - polynomials

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

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

A: Solution

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

A: To find the formula for the polynomial P(x) of degree 3.

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

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

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: gree

A: Root with multiplicity 2 , x= 4 Root with multiplicity 1, x= -5 y- intercept = -24

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

A: Given the query is to find the polynomial from the data provided.

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = x = – 1. The y-intercept is y…

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at r = x = - 5. The y-intercept is y…

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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 a = 4 and a root of multiplicity 1…

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

A: Given: The polynomial of degree 3 , Px has a root of multiplicity 2 at x=1 and root of multiplicity…

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

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

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = =0,…

A: To find the possible formula for P(x) satisfying the given conditions.

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

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

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

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: 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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